11419992864 has 288 divisors, whose sum is σ = 39244383360. Its totient is φ = 3077222400.

The previous prime is 11419992833. The next prime is 11419992889. The reversal of 11419992864 is 46829991411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11419992864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762894 + ... + 10763954.

It is an arithmetic number, because the mean of its divisors is an integer number (136265220).

Almost surely, 2^11419992864 is an apocalyptic number.

11419992864 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 11419992864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622191680).

11419992864 is an abundant number, since it is smaller than the sum of its proper divisors (27824390496).

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

11419992864 is a wasteful number, since it uses less digits than its factorization.

11419992864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 11419992864 in words is "eleven billion, four hundred nineteen million, nine hundred ninety-two thousand, eight hundred sixty-four".