46874918160 has 640 divisors, whose sum is σ = 197804482560. Its totient is φ = 9968707584.

The previous prime is 46874918143. The next prime is 46874918173. The reversal of 46874918160 is 6181947864.

46874918160 is a `hidden beast` number, since 468 + 7 + 4 + 9 + 18 + 160 = 666.

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 = 46874918097 and 46874918106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12865299 + ... + 12868941.

It is an arithmetic number, because the mean of its divisors is an integer number (309069504).

Almost surely, 2^46874918160 is an apocalyptic number.

46874918160 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 46874918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98902241280).

46874918160 is an abundant number, since it is smaller than the sum of its proper divisors (150929564400).

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

46874918160 is a wasteful number, since it uses less digits than its factorization.

46874918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 46874918160 in words is "forty-six billion, eight hundred seventy-four million, nine hundred eighteen thousand, one hundred sixty".