909162117864 has 384 divisors, whose sum is σ = 3451370428800. Its totient is φ = 217980564480.

The previous prime is 909162117863. The next prime is 909162117869. The reversal of 909162117864 is 468711261909.

909162117864 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 621 + 1 + 7 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 909162117864.

It is not an unprimeable number, because it can be changed into a prime (909162117863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1213164 + ... + 1813860.

It is an arithmetic number, because the mean of its divisors is an integer number (8987943825).

Almost surely, 2^909162117864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909162117864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725685214400).

909162117864 is an abundant number, since it is smaller than the sum of its proper divisors (2542208310936).

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

909162117864 is a wasteful number, since it uses less digits than its factorization.

909162117864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600750 (or 600733 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 909162117864 in words is "nine hundred nine billion, one hundred sixty-two million, one hundred seventeen thousand, eight hundred sixty-four".