45084107376 has 540 divisors, whose sum is σ = 163828253160. Its totient is φ = 11443783680.

The previous prime is 45084107357. The next prime is 45084107399. The reversal of 45084107376 is 67370148054.

45084107376 is a `hidden beast` number, since 4 + 508 + 4 + 1 + 0 + 73 + 76 = 666.

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 107 ways as a sum of consecutive naturals, for example, 413615610 + ... + 413615718.

It is an arithmetic number, because the mean of its divisors is an integer number (303385654).

Almost surely, 2^45084107376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45084107376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914126580).

45084107376 is an abundant number, since it is smaller than the sum of its proper divisors (118744145784).

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

45084107376 is a wasteful number, since it uses less digits than its factorization.

45084107376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 45084107376 in words is "forty-five billion, eighty-four million, one hundred seven thousand, three hundred seventy-six".