11193762021264 has 45 divisors (see below), whose sum is σ = 31327099128273. Its totient is φ = 3731240624256.

The previous prime is 11193762021251. The next prime is 11193762021269. The reversal of 11193762021264 is 46212026739111.

The square root of 11193762021264 is 3345708.

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

11193762021264 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 3 + 7 + 620 + 2 + 12 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11189747531664 + 4014489600 = 3345108^2 + 63360^2 .

It is not an unprimeable number, because it can be changed into a prime (11193762021269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40009092 + ... + 40287900.

Almost surely, 2^{11193762021264} is an apocalyptic number.

11193762021264 is the 3345708-th square number.

It is an amenable number.

11193762021264 is an abundant number, since it is smaller than the sum of its proper divisors (20133337107009).

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

11193762021264 is an frugal number, since it uses more digits than its factorization.

11193762021264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557632 (or 278814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11193762021264 in words is "eleven trillion, one hundred ninety-three billion, seven hundred sixty-two million, twenty-one thousand, two hundred sixty-four".