12414590964 has 72 divisors (see below), whose sum is σ = 32065619040. Its totient is φ = 4048632000.

The previous prime is 12414590963. The next prime is 12414590983. The reversal of 12414590964 is 46909541421.

12414590964 is a `hidden beast` number, since 12 + 41 + 4 + 590 + 9 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414590963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434314 + ... + 462014.

It is an arithmetic number, because the mean of its divisors is an integer number (445355820).

Almost surely, 2^12414590964 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 12414590964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16032809520).

12414590964 is an abundant number, since it is smaller than the sum of its proper divisors (19651028076).

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

12414590964 is a wasteful number, since it uses less digits than its factorization.

12414590964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27981 (or 27976 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12414590964 in words is "twelve billion, four hundred fourteen million, five hundred ninety thousand, nine hundred sixty-four".