45538081344 has 336 divisors, whose sum is σ = 151383756160. Its totient is φ = 12819824640.

The previous prime is 45538081327. The next prime is 45538081361. The reversal of 45538081344 is 44318083554.

45538081344 is a `hidden beast` number, since 4 + 5 + 538 + 0 + 81 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45538081327) and next prime (45538081361).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45538081344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108166254 + ... + 108166674.

Almost surely, 2^45538081344 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 45538081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75691878080).

45538081344 is an abundant number, since it is smaller than the sum of its proper divisors (105845674816).

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

45538081344 is a wasteful number, since it uses less digits than its factorization.

45538081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45538081344 in words is "forty-five billion, five hundred thirty-eight million, eighty-one thousand, three hundred forty-four".