11977014624 has 96 divisors (see below), whose sum is σ = 33917395680. Its totient is φ = 3686572032.

The previous prime is 11977014617. The next prime is 11977014689. The reversal of 11977014624 is 42641077911.

11977014624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11977014624² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17262 + ... + 155730.

It is an arithmetic number, because the mean of its divisors is an integer number (353306205).

Almost surely, 2^11977014624 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 11977014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958697840).

11977014624 is an abundant number, since it is smaller than the sum of its proper divisors (21940381056).

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

11977014624 is a wasteful number, since it uses less digits than its factorization.

11977014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138552 (or 138544 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 11977014624 in words is "eleven billion, nine hundred seventy-seven million, fourteen thousand, six hundred twenty-four".