14132479680 has 672 divisors, whose sum is σ = 57001501440. Its totient is φ = 3177308160.

The previous prime is 14132479663. The next prime is 14132479721. The reversal of 14132479680 is 8697423141.

14132479680 is a `hidden beast` number, since 141 + 32 + 479 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×14132479680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31901539 + ... + 31901981.

Almost surely, 2^14132479680 is an apocalyptic number.

14132479680 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 14132479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500750720).

14132479680 is an abundant number, since it is smaller than the sum of its proper divisors (42869021760).

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

14132479680 is a wasteful number, since it uses less digits than its factorization.

14132479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14132479680 in words is "fourteen billion, one hundred thirty-two million, four hundred seventy-nine thousand, six hundred eighty".