45106524288 has 288 divisors, whose sum is σ = 153849428460. Its totient is φ = 12643577856.

The previous prime is 45106524271. The next prime is 45106524293. The reversal of 45106524288 is 88242560154.

45106524288 is a `hidden beast` number, since 4 + 510 + 6 + 52 + 4 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43467246144 + 1639278144 = 208488^2 + 40488^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2984206 + ... + 2999282.

Almost surely, 2^45106524288 is an apocalyptic number.

45106524288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76924714230).

45106524288 is an abundant number, since it is smaller than the sum of its proper divisors (108742904172).

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

45106524288 is a wasteful number, since it uses less digits than its factorization.

45106524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15164 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 45106524288 in words is "forty-five billion, one hundred six million, five hundred twenty-four thousand, two hundred eighty-eight".