45929789231104 has 117 divisors (see below), whose sum is σ = 97584690743427. Its totient is φ = 21610548559872.

The previous prime is 45929789231057. The next prime is 45929789231111. The reversal of 45929789231104 is 40113298792954.

The square root of 45929789231104 is 6777152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4037206118400 + 41892583112704 = 2009280^2 + 6472448^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7373538262 + ... + 7373544490.

Almost surely, 2^{45929789231104} is an apocalyptic number.

45929789231104 is the 6777152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45929789231104

45929789231104 is an abundant number, since it is smaller than the sum of its proper divisors (51654901512323).

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

45929789231104 is an frugal number, since it uses more digits than its factorization.

45929789231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

45929789231104 divided by its sum of digits (64) gives a square (717652956736 = 847144²).

The spelling of 45929789231104 in words is "forty-five trillion, nine hundred twenty-nine billion, seven hundred eighty-nine million, two hundred thirty-one thousand, one hundred four".