45415874547072 has 384 divisors, whose sum is σ = 139170680064000. Its totient is φ = 14174829453312.

The previous prime is 45415874547067. The next prime is 45415874547149. The reversal of 45415874547072 is 27074547851454.

45415874547072 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 5 + 87 + 4 + 547 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45415874547072² (a number of 28 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 8927828113 + ... + 8927833199.

It is an arithmetic number, because the mean of its divisors is an integer number (362423646000).

Almost surely, 2^{45415874547072} 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 45415874547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69585340032000).

45415874547072 is an abundant number, since it is smaller than the sum of its proper divisors (93754805516928).

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

45415874547072 is a wasteful number, since it uses less digits than its factorization.

45415874547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 175616000, while the sum is 63.

The spelling of 45415874547072 in words is "forty-five trillion, four hundred fifteen billion, eight hundred seventy-four million, five hundred forty-seven thousand, seventy-two".