45526452192 has 384 divisors, whose sum is σ = 150458757120. Its totient is φ = 13295093760.

The previous prime is 45526452173. The next prime is 45526452211. The reversal of 45526452192 is 29125462554.

45526452192 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 6 + 452 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (45526452173) and next prime (45526452211).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18452943 + ... + 18455409.

It is an arithmetic number, because the mean of its divisors is an integer number (391819680).

Almost surely, 2^45526452192 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 45526452192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75229378560).

45526452192 is an abundant number, since it is smaller than the sum of its proper divisors (104932304928).

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

45526452192 is a wasteful number, since it uses less digits than its factorization.

45526452192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 45526452192 in words is "forty-five billion, five hundred twenty-six million, four hundred fifty-two thousand, one hundred ninety-two".