46893534842880 has 1248 divisors, whose sum is σ = 180605935560960. Its totient is φ = 11159470080000.

The previous prime is 46893534842851. The next prime is 46893534842899. The reversal of 46893534842880 is 8824843539864.

46893534842880 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 3 + 534 + 8 + 4 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×46893534842880² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46893534842799 and 46893534842808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27247840420 + ... + 27247842140.

It is an arithmetic number, because the mean of its divisors is an integer number (144716294520).

Almost surely, 2^{46893534842880} is an apocalyptic number.

46893534842880 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 46893534842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90302967780480).

46893534842880 is an abundant number, since it is smaller than the sum of its proper divisors (133712400718080).

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

46893534842880 is a wasteful number, since it uses less digits than its factorization.

46893534842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 46893534842880 in words is "forty-six trillion, eight hundred ninety-three billion, five hundred thirty-four million, eight hundred forty-two thousand, eight hundred eighty".