15432958464 has 320 divisors, whose sum is σ = 52325222400. Its totient is φ = 4007055360.

The previous prime is 15432958441. The next prime is 15432958481. The reversal of 15432958464 is 46485923451.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5793997 + ... + 5796659.

It is an arithmetic number, because the mean of its divisors is an integer number (163516320).

Almost surely, 2^15432958464 is an apocalyptic number.

15432958464 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 15432958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162611200).

15432958464 is an abundant number, since it is smaller than the sum of its proper divisors (36892263936).

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

15432958464 is an equidigital number, since it uses as much as digits as its factorization.

15432958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2686 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 15432958464 in words is "fifteen billion, four hundred thirty-two million, nine hundred fifty-eight thousand, four hundred sixty-four".