45580713117600 has 72 divisors (see below), whose sum is σ = 148365221205600. Its totient is φ = 12154856830720.

The previous prime is 45580713117593. The next prime is 45580713117601. The reversal of 45580713117600 is 671131708554.

It is a super-2 number, since 2×45580713117600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45580713117600.

It is not an unprimeable number, because it can be changed into a prime (45580713117601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9495979500 + ... + 9495984299.

It is an arithmetic number, because the mean of its divisors is an integer number (2060628072300).

Almost surely, 2^{45580713117600} is an apocalyptic number.

45580713117600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45580713117600 is an abundant number, since it is smaller than the sum of its proper divisors (102784508088000).

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

45580713117600 is a wasteful number, since it uses less digits than its factorization.

45580713117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18991963822 (or 18991963809 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 45580713117600 in words is "forty-five trillion, five hundred eighty billion, seven hundred thirteen million, one hundred seventeen thousand, six hundred".