15252183648 has 288 divisors, whose sum is σ = 47779647552. Its totient is φ = 4586803200.

The previous prime is 15252183631. The next prime is 15252183707. The reversal of 15252183648 is 84638125251.

15252183648 is a `hidden beast` number, since 1 + 5 + 2 + 521 + 83 + 6 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48113986 + ... + 48114302.

It is an arithmetic number, because the mean of its divisors is an integer number (165901554).

Almost surely, 2^15252183648 is an apocalyptic number.

15252183648 is a gapful number since it is divisible by the number (18) 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 15252183648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889823776).

15252183648 is an abundant number, since it is smaller than the sum of its proper divisors (32527463904).

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

15252183648 is a wasteful number, since it uses less digits than its factorization.

15252183648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 15252183648 in words is "fifteen billion, two hundred fifty-two million, one hundred eighty-three thousand, six hundred forty-eight".