12916404723600 has 1215 divisors, whose sum is σ = 53652034288593. Its totient is φ = 2869171683840.

The previous prime is 12916404723517. The next prime is 12916404723619. The reversal of 12916404723600 is 632740461921.

The square root of 12916404723600 is 3593940.

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

12916404723600 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 6 + 404 + 7 + 236 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4649905700496 + 8266499023104 = 2156364^2 + 2875152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 64906556301 + ... + 64906556499.

Almost surely, 2^{12916404723600} is an apocalyptic number.

12916404723600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12916404723600 is the 3593940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12916404723600

12916404723600 is an abundant number, since it is smaller than the sum of its proper divisors (40735629564993).

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

12916404723600 is a wasteful number, since it uses less digits than its factorization.

12916404723600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12916404723600 in words is "twelve trillion, nine hundred sixteen billion, four hundred four million, seven hundred twenty-three thousand, six hundred".