11364800653584 has 405 divisors, whose sum is σ = 37621682290647. Its totient is φ = 3193281995904.

The previous prime is 11364800653573. The next prime is 11364800653597. The reversal of 11364800653584 is 48535600846311.

It is a happy number.

The square root of 11364800653584 is 3371172.

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

11364800653584 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 8 + 0 + 0 + 6 + 53 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11364800653584.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18972955717 + ... + 18972956315.

Almost surely, 2^{11364800653584} is an apocalyptic number.

11364800653584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11364800653584 is the 3371172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364800653584

11364800653584 is an abundant number, since it is smaller than the sum of its proper divisors (26256881637063).

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

11364800653584 is an frugal number, since it uses more digits than its factorization.

11364800653584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 11364800653584 in words is "eleven trillion, three hundred sixty-four billion, eight hundred million, six hundred fifty-three thousand, five hundred eighty-four".