12314901456 has 480 divisors, whose sum is σ = 43365224448. Its totient is φ = 3204956160.

The previous prime is 12314901397. The next prime is 12314901461. The reversal of 12314901456 is 65410941321.

It is a happy number.

12314901456 is a `hidden beast` number, since 1 + 23 + 1 + 490 + 145 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12314901456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44457990 + ... + 44458266.

Almost surely, 2^12314901456 is an apocalyptic number.

12314901456 is a gapful number since it is divisible by the number (16) 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 12314901456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682612224).

12314901456 is an abundant number, since it is smaller than the sum of its proper divisors (31050322992).

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

12314901456 is a wasteful number, since it uses less digits than its factorization.

12314901456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12314901456 in words is "twelve billion, three hundred fourteen million, nine hundred one thousand, four hundred fifty-six".