11793235120384 has 81 divisors (see below), whose sum is σ = 23884528609879. Its totient is φ = 5811643496960.

The previous prime is 11793235120379. The next prime is 11793235120391. The reversal of 11793235120384 is 48302153239711.

The square root of 11793235120384 is 3434128.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3901167897 + ... + 3901170919.

Almost surely, 2^{11793235120384} is an apocalyptic number.

11793235120384 is the 3434128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11793235120384

11793235120384 is an abundant number, since it is smaller than the sum of its proper divisors (12091293489495).

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

11793235120384 is an frugal number, since it uses more digits than its factorization.

11793235120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 11793235120384 by its sum of digits (49), we get a square (577868520898816 = 24038896²).

The spelling of 11793235120384 in words is "eleven trillion, seven hundred ninety-three billion, two hundred thirty-five million, one hundred twenty thousand, three hundred eighty-four".