45637857146880 has 768 divisors, whose sum is σ = 169409874816000. Its totient is φ = 11632151494656.

The previous prime is 45637857146837. The next prime is 45637857146957. The reversal of 45637857146880 is 8864175873654.

45637857146880 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 7 + 8 + 571 + 46 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 45637857146799 and 45637857146808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14428660179 + ... + 14428663341.

It is an arithmetic number, because the mean of its divisors is an integer number (220585774500).

Almost surely, 2^{45637857146880} is an apocalyptic number.

45637857146880 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 45637857146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84704937408000).

45637857146880 is an abundant number, since it is smaller than the sum of its proper divisors (123772017669120).

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

45637857146880 is a wasteful number, since it uses less digits than its factorization.

45637857146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 45637857146880 in words is "forty-five trillion, six hundred thirty-seven billion, eight hundred fifty-seven million, one hundred forty-six thousand, eight hundred eighty".