11383191456 has 384 divisors, whose sum is σ = 38364544512. Its totient is φ = 2875392000.

The previous prime is 11383191439. The next prime is 11383191481. The reversal of 11383191456 is 65419138311.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (77760) is a multiple of the sum of its prime divisors (648).

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, 21848476 + ... + 21848996.

It is an arithmetic number, because the mean of its divisors is an integer number (99907668).

Almost surely, 2^11383191456 is an apocalyptic number.

11383191456 is a gapful number since it is divisible by the number (16) 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 11383191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182272256).

11383191456 is an abundant number, since it is smaller than the sum of its proper divisors (26981353056).

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

11383191456 is a wasteful number, since it uses less digits than its factorization.

11383191456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The spelling of 11383191456 in words is "eleven billion, three hundred eighty-three million, one hundred ninety-one thousand, four hundred fifty-six".