12251441664 has 720 divisors, whose sum is σ = 46072842816. Its totient is φ = 3065610240.

The previous prime is 12251441659. The next prime is 12251441693. The reversal of 12251441664 is 46614415221.

12251441664 is a `hidden beast` number, since 1 + 225 + 14 + 416 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167827932 + ... + 167828004.

Almost surely, 2^12251441664 is an apocalyptic number.

12251441664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23036421408).

12251441664 is an abundant number, since it is smaller than the sum of its proper divisors (33821401152).

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

12251441664 is a wasteful number, since it uses less digits than its factorization.

12251441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 12251441664 its reverse (46614415221), we get a palindrome (58865856885).

The spelling of 12251441664 in words is "twelve billion, two hundred fifty-one million, four hundred forty-one thousand, six hundred sixty-four".