13999622400 has 729 divisors, whose sum is σ = 55065866401. Its totient is φ = 3392471040.

The previous prime is 13999622387. The next prime is 13999622419. The reversal of 13999622400 is 422699931.

It is a happy number.

The square root of 13999622400 is 118320.

It is a perfect power (a square), and thus also a powerful number.

13999622400 is a `hidden beast` number, since 13 + 9 + 9 + 9 + 622 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4561111296 + 9438511104 = 67536^2 + 97152^2 .

It is a super-3 number, since 3×13999622400³ (a number of 31 digits) contains 333 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 482745586 + ... + 482745614.

Almost surely, 2^13999622400 is an apocalyptic number.

13999622400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13999622400 is the 118320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13999622400

13999622400 is an abundant number, since it is smaller than the sum of its proper divisors (41066244001).

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

13999622400 is a wasteful number, since it uses less digits than its factorization.

13999622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13999622400 in words is "thirteen billion, nine hundred ninety-nine million, six hundred twenty-two thousand, four hundred".