11474569289664 has 672 divisors, whose sum is σ = 37579961619200. Its totient is φ = 3318383738880.

The previous prime is 11474569289641. The next prime is 11474569289681. The reversal of 11474569289664 is 46698296547411.

11474569289664 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 456 + 9 + 28 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11474569289592 and 11474569289601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12994981767 + ... + 12994982649.

Almost surely, 2^{11474569289664} 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 11474569289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789980809600).

11474569289664 is an abundant number, since it is smaller than the sum of its proper divisors (26105392329536).

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

11474569289664 is a wasteful number, since it uses less digits than its factorization.

11474569289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1540 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 11474569289664 in words is "eleven trillion, four hundred seventy-four billion, five hundred sixty-nine million, two hundred eighty-nine thousand, six hundred sixty-four".