11553446934 has 64 divisors (see below), whose sum is σ = 26027020800. Its totient is φ = 3798568224.

The previous prime is 11553446899. The next prime is 11553446953. The reversal of 11553446934 is 43964435511.

11553446934 is a `hidden beast` number, since 1 + 1 + 553 + 4 + 4 + 6 + 93 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11553446934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331799 + ... + 1340445.

It is an arithmetic number, because the mean of its divisors is an integer number (406672200).

Almost surely, 2^11553446934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553446934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013510400).

11553446934 is an abundant number, since it is smaller than the sum of its proper divisors (14473573866).

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

11553446934 is a wasteful number, since it uses less digits than its factorization.

11553446934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8988 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 11553446934 in words is "eleven billion, five hundred fifty-three million, four hundred forty-six thousand, nine hundred thirty-four".