11863722816 has 756 divisors, whose sum is σ = 43143667840. Its totient is φ = 3102105600.

The previous prime is 11863722811. The next prime is 11863722817. The reversal of 11863722816 is 61822736811.

11863722816 = 468³ + 469³ + ... + 555³.

11863722816 is a `hidden beast` number, since 1 + 1 + 8 + 637 + 2 + 2 + 8 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11863722811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 382700721 + ... + 382700751.

Almost surely, 2^11863722816 is an apocalyptic number.

11863722816 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 11863722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571833920).

11863722816 is an abundant number, since it is smaller than the sum of its proper divisors (31279945024).

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

11863722816 is a wasteful number, since it uses less digits than its factorization.

11863722816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11863722816 in words is "eleven billion, eight hundred sixty-three million, seven hundred twenty-two thousand, eight hundred sixteen".