14622982400 has 108 divisors (see below), whose sum is σ = 38978554692. Its totient is φ = 5399224320.

The previous prime is 14622982321. The next prime is 14622982411. The reversal of 14622982400 is 428922641.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7139584 + 14615842816 = 2672^2 + 120896^2 .

It is a super-2 number, since 2×14622982400² (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 11 ways as a sum of consecutive naturals, for example, 4679 + ... + 171078.

Almost surely, 2^14622982400 is an apocalyptic number.

14622982400 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 14622982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489277346).

14622982400 is an abundant number, since it is smaller than the sum of its proper divisors (24355572292).

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

14622982400 is a wasteful number, since it uses less digits than its factorization.

14622982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175796 (or 175777 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 14622982400 in words is "fourteen billion, six hundred twenty-two million, nine hundred eighty-two thousand, four hundred".