45757601890320 has 40 divisors (see below), whose sum is σ = 141848565860736. Its totient is φ = 12202027170688.

The previous prime is 45757601890271. The next prime is 45757601890321. The reversal of 45757601890320 is 2309810675754.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (45757601890321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95328337032 + ... + 95328337511.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45757601890320 = 91515203780640, but 3⋅45757601890320 = 137272805670960 is not.

Almost surely, 2^{45757601890320} is an apocalyptic number.

45757601890320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45757601890320 is an abundant number, since it is smaller than the sum of its proper divisors (96090963970416).

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

45757601890320 is a wasteful number, since it uses less digits than its factorization.

45757601890320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190656674559 (or 190656674553 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 45757601890320 in words is "forty-five trillion, seven hundred fifty-seven billion, six hundred one million, eight hundred ninety thousand, three hundred twenty".