11611601964 has 96 divisors (see below), whose sum is σ = 31299475200. Its totient is φ = 3719675520.

The previous prime is 11611601959. The next prime is 11611601983. The reversal of 11611601964 is 46910611611.

11611601964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277107 + ... + 316245.

It is an arithmetic number, because the mean of its divisors is an integer number (326036200).

Almost surely, 2^11611601964 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 11611601964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649737600).

11611601964 is an abundant number, since it is smaller than the sum of its proper divisors (19687873236).

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

11611601964 is a wasteful number, since it uses less digits than its factorization.

11611601964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39260 (or 39252 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11611601964 in words is "eleven billion, six hundred eleven million, six hundred one thousand, nine hundred sixty-four".