15414544960 has 112 divisors (see below), whose sum is σ = 38814451200. Its totient is φ = 5814595584.

The previous prime is 15414544949. The next prime is 15414544967. The reversal of 15414544960 is 6944541451.

It is a super-2 number, since 2×15414544960² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15414544967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350156 + ... + 1361524.

It is an arithmetic number, because the mean of its divisors is an integer number (346557600).

Almost surely, 2^15414544960 is an apocalyptic number.

15414544960 is a gapful number since it is divisible by the number (10) 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 15414544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407225600).

15414544960 is an abundant number, since it is smaller than the sum of its proper divisors (23399906240).

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

15414544960 is a wasteful number, since it uses less digits than its factorization.

15414544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 15414544960 in words is "fifteen billion, four hundred fourteen million, five hundred forty-four thousand, nine hundred sixty".