45729656960 has 64 divisors (see below), whose sum is σ = 117731902680. Its totient is φ = 16884793344.

The previous prime is 45729656941. The next prime is 45729656963. The reversal of 45729656960 is 6965692754.

It can be written as a sum of positive squares in 4 ways, for example, as 11964859456 + 33764797504 = 109384^2 + 183752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45729656960.

It is not an unprimeable number, because it can be changed into a prime (45729656963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2739857 + ... + 2756496.

Almost surely, 2^45729656960 is an apocalyptic number.

45729656960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45729656960 is an abundant number, since it is smaller than the sum of its proper divisors (72002245720).

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

45729656960 is a wasteful number, since it uses less digits than its factorization.

45729656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496385 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 59.

The spelling of 45729656960 in words is "forty-five billion, seven hundred twenty-nine million, six hundred fifty-six thousand, nine hundred sixty".