46814405220 has 480 divisors, whose sum is σ = 164182588416. Its totient is φ = 11071468800.

The previous prime is 46814405203. The next prime is 46814405233. The reversal of 46814405220 is 2250441864.

46814405220 is a `hidden beast` number, since 468 + 144 + 0 + 52 + 2 + 0 = 666.

It is a super-2 number, since 2×46814405220² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206230747 + ... + 206230973.

Almost surely, 2^46814405220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46814405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82091294208).

46814405220 is an abundant number, since it is smaller than the sum of its proper divisors (117368183196).

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

46814405220 is a wasteful number, since it uses less digits than its factorization.

46814405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 46814405220 in words is "forty-six billion, eight hundred fourteen million, four hundred five thousand, two hundred twenty".