45920321701632 has 360 divisors, whose sum is σ = 164723126198400. Its totient is φ = 12429560014848.

The previous prime is 45920321701607. The next prime is 45920321701679. The reversal of 45920321701632 is 23610712302954.

It is a happy number.

45920321701632 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 0 + 3 + 2 + 1 + 7 + 0 + 1 + 632 = 666.

It is a super-3 number, since 3×45920321701632³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5567382 + ... + 11083157.

It is an arithmetic number, because the mean of its divisors is an integer number (457564239440).

Almost surely, 2^{45920321701632} is an apocalyptic number.

45920321701632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45920321701632 is an abundant number, since it is smaller than the sum of its proper divisors (118802804496768).

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

45920321701632 is a wasteful number, since it uses less digits than its factorization.

45920321701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16650593 (or 16650570 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45920321701632 in words is "forty-five trillion, nine hundred twenty billion, three hundred twenty-one million, seven hundred one thousand, six hundred thirty-two".