13623558400 has 81 divisors (see below), whose sum is σ = 33743563581. Its totient is φ = 5445688320.

The previous prime is 13623558367. The next prime is 13623558401. The reversal of 13623558400 is 485532631.

The square root of 13623558400 is 116720.

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

It can be written as a sum of positive squares in only one way, i.e., 4904481024 + 8719077376 = 70032^2 + 93376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13623558400.

It is not an unprimeable number, because it can be changed into a prime (13623558401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9336871 + ... + 9338329.

Almost surely, 2^13623558400 is an apocalyptic number.

13623558400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13623558400 is the 116720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13623558400

13623558400 is an abundant number, since it is smaller than the sum of its proper divisors (20120005181).

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

13623558400 is an frugal number, since it uses more digits than its factorization.

13623558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13623558400 in words is "thirteen billion, six hundred twenty-three million, five hundred fifty-eight thousand, four hundred".