45362524410 has 192 divisors, whose sum is σ = 140913077760. Its totient is φ = 9899366400.

The previous prime is 45362524393. The next prime is 45362524421. The reversal of 45362524410 is 1442526354.

45362524410 is a `hidden beast` number, since 4 + 5 + 3 + 625 + 24 + 4 + 1 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8705886 + ... + 8711094.

It is an arithmetic number, because the mean of its divisors is an integer number (733922280).

Almost surely, 2^45362524410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45362524410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70456538880).

45362524410 is an abundant number, since it is smaller than the sum of its proper divisors (95550553350).

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

45362524410 is a wasteful number, since it uses less digits than its factorization.

45362524410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45362524410 in words is "forty-five billion, three hundred sixty-two million, five hundred twenty-four thousand, four hundred ten".