45676141056000 has 6240 divisors, whose sum is σ = 226353894624000. Its totient is φ = 9129944678400.

The previous prime is 45676141055989. The next prime is 45676141056037. The reversal of 45676141056000 is 65014167654.

45676141056000 is a `hidden beast` number, since 4 + 5 + 6 + 76 + 1 + 4 + 10 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2404007423991 + ... + 2404007424009.

It is an arithmetic number, because the mean of its divisors is an integer number (36274662600).

Almost surely, 2^{45676141056000} is an apocalyptic number.

45676141056000 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 45676141056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113176947312000).

45676141056000 is an abundant number, since it is smaller than the sum of its proper divisors (180677753568000).

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

45676141056000 is an equidigital number, since it uses as much as digits as its factorization.

45676141056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45676141056000 in words is "forty-five trillion, six hundred seventy-six billion, one hundred forty-one million, fifty-six thousand".