45635829121120 has 96 divisors (see below), whose sum is σ = 124116131297088. Its totient is φ = 15532361392128.

The previous prime is 45635829121111. The next prime is 45635829121133. The reversal of 45635829121120 is 2112192853654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148555597 + ... + 148862476.

It is an arithmetic number, because the mean of its divisors is an integer number (1292876367678).

Almost surely, 2^{45635829121120} is an apocalyptic number.

45635829121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45635829121120 is an abundant number, since it is smaller than the sum of its proper divisors (78480302175968).

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

45635829121120 is a wasteful number, since it uses less digits than its factorization.

45635829121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297418232 (or 297418224 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 45635829121120 in words is "forty-five trillion, six hundred thirty-five billion, eight hundred twenty-nine million, one hundred twenty-one thousand, one hundred twenty".