45950159462800 has 90 divisors (see below), whose sum is σ = 113022296898162. Its totient is φ = 17952620152320.

The previous prime is 45950159462777. The next prime is 45950159462803. The reversal of 45950159462800 is 826495105954.

It can be written as a sum of positive squares in 3 ways, for example, as 12568896829696 + 33381262633104 = 3545264^2 + 5777652^2 .

It is a super-2 number, since 2×45950159462800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45950159462803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30324597 + ... + 31803796.

Almost surely, 2^{45950159462800} is an apocalyptic number.

45950159462800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45950159462800 is an abundant number, since it is smaller than the sum of its proper divisors (67072137435362).

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

45950159462800 is a wasteful number, since it uses less digits than its factorization.

45950159462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62128497 (or 62128443 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 58.

The spelling of 45950159462800 in words is "forty-five trillion, nine hundred fifty billion, one hundred fifty-nine million, four hundred sixty-two thousand, eight hundred".