11452565978896 has 45 divisors (see below), whose sum is σ = 25812310613511. Its totient is φ = 4908201952416.

The previous prime is 11452565978879. The next prime is 11452565978939. The reversal of 11452565978896 is 69887956525411.

The square root of 11452565978896 is 3384164.

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

It is a super-2 number, since 2×11452565978896² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94696161 + ... + 94817023.

Almost surely, 2^{11452565978896} is an apocalyptic number.

11452565978896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11452565978896 is the 3384164-th square number.

It is an amenable number.

11452565978896 is an abundant number, since it is smaller than the sum of its proper divisors (14359744634615).

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

11452565978896 is an frugal number, since it uses more digits than its factorization.

11452565978896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241748 (or 120872 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 76.

The spelling of 11452565978896 in words is "eleven trillion, four hundred fifty-two billion, five hundred sixty-five million, nine hundred seventy-eight thousand, eight hundred ninety-six".