1246728564900 has 729 divisors, whose sum is σ = 4934450380041. Its totient is φ = 262402882560.

The previous prime is 1246728564863. The next prime is 1246728564971. The reversal of 1246728564900 is 94658276421.

The square root of 1246728564900 is 1116570.

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

1246728564900 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 72 + 8 + 564 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 679249595556 + 567478969344 = 824166^2 + 753312^2 .

It is a super-2 number, since 2×1246728564900² (a number of 25 digits) contains 22 as substring.

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, 3048235896 + ... + 3048236304.

Almost surely, 2^{1246728564900} is an apocalyptic number.

1246728564900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1246728564900 is the 1116570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1246728564900

1246728564900 is an abundant number, since it is smaller than the sum of its proper divisors (3687721815141).

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

1246728564900 is a wasteful number, since it uses less digits than its factorization.

1246728564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1246728564900 in words is "one trillion, two hundred forty-six billion, seven hundred twenty-eight million, five hundred sixty-four thousand, nine hundred".