46187107970688 has 256 divisors, whose sum is σ = 143256175497600. Its totient is φ = 14631237992448.

The previous prime is 46187107970677. The next prime is 46187107970693. The reversal of 46187107970688 is 88607970178164.

46187107970688 is a `hidden beast` number, since 461 + 8 + 7 + 10 + 7 + 9 + 70 + 6 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298520 + ... + 9698472.

Almost surely, 2^{46187107970688} is an apocalyptic number.

46187107970688 is a gapful number since it is divisible by the number (48) 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 46187107970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628087748800).

46187107970688 is an abundant number, since it is smaller than the sum of its proper divisors (97069067526912).

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

46187107970688 is a wasteful number, since it uses less digits than its factorization.

46187107970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400056 (or 8400038 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 46187107970688 in words is "forty-six trillion, one hundred eighty-seven billion, one hundred seven million, nine hundred seventy thousand, six hundred eighty-eight".