45334631120 has 20 divisors (see below), whose sum is σ = 105403017540. Its totient is φ = 18133852416.

The previous prime is 45334631113. The next prime is 45334631149. The reversal of 45334631120 is 2113643354.

It can be written as a sum of positive squares in 2 ways, for example, as 13430955664 + 31903675456 = 115892^2 + 178616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283341365 + ... + 283341524.

It is an arithmetic number, because the mean of its divisors is an integer number (5270150877).

Almost surely, 2^45334631120 is an apocalyptic number.

45334631120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45334631120 is an abundant number, since it is smaller than the sum of its proper divisors (60068386420).

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

45334631120 is a wasteful number, since it uses less digits than its factorization.

45334631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566682902 (or 566682896 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 45334631120 in words is "forty-five billion, three hundred thirty-four million, six hundred thirty-one thousand, one hundred twenty".