15248961504 has 432 divisors, whose sum is σ = 54041734656. Its totient is φ = 4213036800.

The previous prime is 15248961487. The next prime is 15248961509. The reversal of 15248961504 is 40516984251.

15248961504 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 89 + 61 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 15248961504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15248961509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11811099 + ... + 11812389.

It is an arithmetic number, because the mean of its divisors is an integer number (125096608).

Almost surely, 2^15248961504 is an apocalyptic number.

15248961504 is a gapful number since it is divisible by the number (14) 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 15248961504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27020867328).

15248961504 is an abundant number, since it is smaller than the sum of its proper divisors (38792773152).

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

15248961504 is a wasteful number, since it uses less digits than its factorization.

15248961504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 15248961504 in words is "fifteen billion, two hundred forty-eight million, nine hundred sixty-one thousand, five hundred four".