45632038404096 has 192 divisors, whose sum is σ = 136706266897200. Its totient is φ = 15210676813824.

The previous prime is 45632038404061. The next prime is 45632038404097. The reversal of 45632038404096 is 69040483023654.

45632038404096 is a `hidden beast` number, since 4 + 563 + 2 + 0 + 38 + 4 + 0 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45632038404097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5097235 + ... + 10828013.

Almost surely, 2^{45632038404096} 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 45632038404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68353133448600).

45632038404096 is an abundant number, since it is smaller than the sum of its proper divisors (91074228493104).

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

45632038404096 is an frugal number, since it uses more digits than its factorization.

45632038404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730824 (or 5730784 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 45632038404096 in words is "forty-five trillion, six hundred thirty-two billion, thirty-eight million, four hundred four thousand, ninety-six".