14807721456 has 400 divisors, whose sum is σ = 48850623360. Its totient is φ = 4290485760.

The previous prime is 14807721451. The next prime is 14807721473. The reversal of 14807721456 is 65412770841.

It is a super-2 number, since 2×14807721456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14807721451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35340415 + ... + 35340833.

Almost surely, 2^14807721456 is an apocalyptic number.

14807721456 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 14807721456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425311680).

14807721456 is an abundant number, since it is smaller than the sum of its proper divisors (34042901904).

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

14807721456 is a wasteful number, since it uses less digits than its factorization.

14807721456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 14807721456 in words is "fourteen billion, eight hundred seven million, seven hundred twenty-one thousand, four hundred fifty-six".