46252524096 has 315 divisors, whose sum is σ = 143389830441. Its totient is φ = 14741346816.

The previous prime is 46252524089. The next prime is 46252524181. The reversal of 46252524096 is 69042525264.

The square root of 46252524096 is 215064.

It is a perfect power (a square), and thus also a powerful number.

46252524096 is a `hidden beast` number, since 462 + 52 + 52 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24253701696 + 21998822400 = 155736^2 + 148320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 449053581 + ... + 449053683.

Almost surely, 2^46252524096 is an apocalyptic number.

46252524096 is the 215064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46252524096

46252524096 is an abundant number, since it is smaller than the sum of its proper divisors (97137306345).

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

46252524096 is an equidigital number, since it uses as much as digits as its factorization.

46252524096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46252524096 in words is "forty-six billion, two hundred fifty-two million, five hundred twenty-four thousand, ninety-six".