11749962494592 has 512 divisors, whose sum is σ = 40332660480000. Its totient is φ = 3297930854400.

The previous prime is 11749962494573. The next prime is 11749962494609. The reversal of 11749962494592 is 29549426994711.

11749962494592 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 9 + 9 + 6 + 24 + 9 + 4 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11749962494592.

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 63 ways as a sum of consecutive naturals, for example, 3997944259 + ... + 3997947197.

It is an arithmetic number, because the mean of its divisors is an integer number (78774727500).

Almost surely, 2^{11749962494592} is an apocalyptic number.

11749962494592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11749962494592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166330240000).

11749962494592 is an abundant number, since it is smaller than the sum of its proper divisors (28582697985408).

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

11749962494592 is a wasteful number, since it uses less digits than its factorization.

11749962494592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5811 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 11749962494592 in words is "eleven trillion, seven hundred forty-nine billion, nine hundred sixty-two million, four hundred ninety-four thousand, five hundred ninety-two".