14119262976 has 720 divisors, whose sum is σ = 51298186240. Its totient is φ = 3413975040.

The previous prime is 14119262951. The next prime is 14119263019. The reversal of 14119262976 is 67926291141.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 455460081 + ... + 455460111.

Almost surely, 2^14119262976 is an apocalyptic number.

14119262976 is a gapful number since it is divisible by the number (16) 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 14119262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25649093120).

14119262976 is an abundant number, since it is smaller than the sum of its proper divisors (37178923264).

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

14119262976 is an equidigital number, since it uses as much as digits as its factorization.

14119262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The spelling of 14119262976 in words is "fourteen billion, one hundred nineteen million, two hundred sixty-two thousand, nine hundred seventy-six".