46820933470080 has 1536 divisors, whose sum is σ = 220042032537600. Its totient is φ = 9216926392320.

The previous prime is 46820933470067. The next prime is 46820933470093. The reversal of 46820933470080 is 8007433902864.

46820933470080 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 0 + 93 + 3 + 470 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (46820933470067) and next prime (46820933470093).

It is a super-2 number, since 2×46820933470080² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46820933469999 and 46820933470026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227422869 + ... + 227628651.

It is an arithmetic number, because the mean of its divisors is an integer number (143256531600).

Almost surely, 2^{46820933470080} is an apocalyptic number.

46820933470080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46820933470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110021016268800).

46820933470080 is an abundant number, since it is smaller than the sum of its proper divisors (173221099067520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46820933470080 is a wasteful number, since it uses less digits than its factorization.

46820933470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205854 (or 205830 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 46820933470080 in words is "forty-six trillion, eight hundred twenty billion, nine hundred thirty-three million, four hundred seventy thousand, eighty".