14072468256 has 576 divisors, whose sum is σ = 54508446720. Its totient is φ = 3460008960.

The previous prime is 14072468227. The next prime is 14072468287. The reversal of 14072468256 is 65286427041.

It is a super-2 number, since 2×14072468256² (a number of 21 digits) contains 22 as substring.

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, 11375670 + ... + 11376906.

It is an arithmetic number, because the mean of its divisors is an integer number (94632720).

Almost surely, 2^14072468256 is an apocalyptic number.

14072468256 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 14072468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27254223360).

14072468256 is an abundant number, since it is smaller than the sum of its proper divisors (40435978464).

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

14072468256 is a wasteful number, since it uses less digits than its factorization.

14072468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14072468256 in words is "fourteen billion, seventy-two million, four hundred sixty-eight thousand, two hundred fifty-six".