12494768400 has 495 divisors, whose sum is σ = 47070615109. Its totient is φ = 3187071360.

The previous prime is 12494768383. The next prime is 12494768411. The reversal of 12494768400 is 486749421.

The square root of 12494768400 is 111780.

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

12494768400 is a `hidden beast` number, since 12 + 494 + 76 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4498116624 + 7996651776 = 67068^2 + 89424^2 .

It is a super-2 number, since 2×12494768400² (a number of 21 digits) contains 22 as substring.

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 98 ways as a sum of consecutive naturals, for example, 543250789 + ... + 543250811.

Almost surely, 2^12494768400 is an apocalyptic number.

12494768400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12494768400 is the 111780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12494768400

12494768400 is an abundant number, since it is smaller than the sum of its proper divisors (34575846709).

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

12494768400 is an frugal number, since it uses more digits than its factorization.

12494768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12494768400 in words is "twelve billion, four hundred ninety-four million, seven hundred sixty-eight thousand, four hundred".