45757071360000 has 4560 divisors, whose sum is σ = 228935278860288. Its totient is φ = 8493465600000.

The previous prime is 45757071359983. The next prime is 45757071360001. The reversal of 45757071360000 is 6317075754.

45757071360000 is a `hidden beast` number, since 4 + 5 + 7 + 570 + 7 + 13 + 60 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45757071360001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1476034559985 + ... + 1476034560015.

Almost surely, 2^{45757071360000} is an apocalyptic number.

45757071360000 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 45757071360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114467639430144).

45757071360000 is an abundant number, since it is smaller than the sum of its proper divisors (183178207500288).

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

45757071360000 is an equidigital number, since it uses as much as digits as its factorization.

45757071360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 45757071360000 in words is "forty-five trillion, seven hundred fifty-seven billion, seventy-one million, three hundred sixty thousand".