18912757254400 has 81 divisors (see below), whose sum is σ = 46812890471403. Its totient is φ = 7564963737600.

The previous prime is 18912757254389. The next prime is 18912757254401. The reversal of 18912757254400 is 445275721981.

The square root of 18912757254400 is 4348880.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61321607424 + 18851435646976 = 247632^2 + 4341824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18912757254401) by changing a digit.

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, 347883220 + ... + 347937580.

Almost surely, 2^{18912757254400} is an apocalyptic number.

18912757254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18912757254400 is the 4348880-th square number.

It is an amenable number.

18912757254400 is an abundant number, since it is smaller than the sum of its proper divisors (27900133217003).

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

18912757254400 is an frugal number, since it uses more digits than its factorization.

18912757254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108748 (or 54368 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 18912757254400 in words is "eighteen trillion, nine hundred twelve billion, seven hundred fifty-seven million, two hundred fifty-four thousand, four hundred".