46581609295872 has 416 divisors, whose sum is σ = 159617841384960. Its totient is φ = 13148663316480.

The previous prime is 46581609295867. The next prime is 46581609295873. The reversal of 46581609295872 is 27859290618564.

46581609295872 is a `hidden beast` number, since 4 + 6 + 5 + 8 + 1 + 609 + 2 + 9 + 5 + 8 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46581609295872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46581609295873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63891472 + ... + 64616432.

Almost surely, 2^{46581609295872} is an apocalyptic number.

46581609295872 is a gapful number since it is divisible by the number (42) 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 46581609295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79808920692480).

46581609295872 is an abundant number, since it is smaller than the sum of its proper divisors (113036232089088).

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

46581609295872 is an equidigital number, since it uses as much as digits as its factorization.

46581609295872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725084 (or 725056 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 46581609295872 in words is "forty-six trillion, five hundred eighty-one billion, six hundred nine million, two hundred ninety-five thousand, eight hundred seventy-two".