15468131952 has 840 divisors, whose sum is σ = 59525654400. Its totient is φ = 3799291392.

The previous prime is 15468131941. The next prime is 15468131963. The reversal of 15468131952 is 25913186451.

It is a happy number.

15468131952 is a `hidden beast` number, since 1 + 5 + 468 + 131 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (15468131941) and next prime (15468131963).

It is a junction number, because it is equal to n+sod(n) for n = 15468131898 and 15468131907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 262171699 + ... + 262171757.

Almost surely, 2^15468131952 is an apocalyptic number.

15468131952 is a gapful number since it is divisible by the number (12) 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 15468131952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762827200).

15468131952 is an abundant number, since it is smaller than the sum of its proper divisors (44057522448).

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

15468131952 is a wasteful number, since it uses less digits than its factorization.

15468131952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 15468131952 in words is "fifteen billion, four hundred sixty-eight million, one hundred thirty-one thousand, nine hundred fifty-two".