11869917407964 has 576 divisors, whose sum is σ = 40700109864960. Its totient is φ = 2824191152640.

The previous prime is 11869917407893. The next prime is 11869917407989. The reversal of 11869917407964 is 46970471996811.

11869917407964 is a `hidden beast` number, since 1 + 18 + 69 + 91 + 7 + 407 + 9 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11869917407892 and 11869917407901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205428982 + ... + 205486754.

It is an arithmetic number, because the mean of its divisors is an integer number (70659912960).

Almost surely, 2^{11869917407964} is an apocalyptic number.

11869917407964 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 11869917407964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350054932480).

11869917407964 is an abundant number, since it is smaller than the sum of its proper divisors (28830192456996).

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

11869917407964 is a wasteful number, since it uses less digits than its factorization.

11869917407964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57950 (or 57945 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 11869917407964 in words is "eleven trillion, eight hundred sixty-nine billion, nine hundred seventeen million, four hundred seven thousand, nine hundred sixty-four".