14957634480 has 160 divisors (see below), whose sum is σ = 48950438400. Its totient is φ = 3767832576.

The previous prime is 14957634479. The next prime is 14957634481. The reversal of 14957634480 is 8443675941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14957634479) and next prime (14957634481).

It is not an unprimeable number, because it can be changed into a prime (14957634481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632472 + ... + 1641608.

It is an arithmetic number, because the mean of its divisors is an integer number (305940240).

Almost surely, 2^14957634480 is an apocalyptic number.

14957634480 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 14957634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24475219200).

14957634480 is an abundant number, since it is smaller than the sum of its proper divisors (33992803920).

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

14957634480 is a wasteful number, since it uses less digits than its factorization.

14957634480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 14957634480 in words is "fourteen billion, nine hundred fifty-seven million, six hundred thirty-four thousand, four hundred eighty".