11914366464 has 1200 divisors, whose sum is σ = 49784532336. Its totient is φ = 2786918400.

The previous prime is 11914366421. The next prime is 11914366481. The reversal of 11914366464 is 46466341911.

11914366464 is a `hidden beast` number, since 1 + 1 + 91 + 43 + 66 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 290594284 + ... + 290594324.

Almost surely, 2^11914366464 is an apocalyptic number.

11914366464 is a gapful number since it is divisible by the number (14) 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 11914366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24892266168).

11914366464 is an abundant number, since it is smaller than the sum of its proper divisors (37870165872).

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

11914366464 is a wasteful number, since it uses less digits than its factorization.

11914366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 11914366464 in words is "eleven billion, nine hundred fourteen million, three hundred sixty-six thousand, four hundred sixty-four".