14538646560 has 96 divisors (see below), whose sum is σ = 47375979840. Its totient is φ = 3743280128.

The previous prime is 14538646559. The next prime is 14538646561. The reversal of 14538646560 is 6564683541.

It is an interprime number because it is at equal distance from previous prime (14538646559) and next prime (14538646561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14538646560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14538646561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508302 + ... + 536141.

It is an arithmetic number, because the mean of its divisors is an integer number (493499790).

Almost surely, 2^14538646560 is an apocalyptic number.

14538646560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14538646560 is an abundant number, since it is smaller than the sum of its proper divisors (32837333280).

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

14538646560 is a wasteful number, since it uses less digits than its factorization.

14538646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044490 (or 1044482 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 14538646560 in words is "fourteen billion, five hundred thirty-eight million, six hundred forty-six thousand, five hundred sixty".