15314294051712 has 192 divisors, whose sum is σ = 44256397414320. Its totient is φ = 5083008000000.

The previous prime is 15314294051711. The next prime is 15314294051773. The reversal of 15314294051712 is 21715049241351.

15314294051712 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 42 + 94 + 0 + 517 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314294051711) 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, 1764112012 + ... + 1764120692.

Almost surely, 2^{15314294051712} is an apocalyptic number.

15314294051712 is a gapful number since it is divisible by the number (12) 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 15314294051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128198707160).

15314294051712 is an abundant number, since it is smaller than the sum of its proper divisors (28942103362608).

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

15314294051712 is a wasteful number, since it uses less digits than its factorization.

15314294051712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 15314294051712 in words is "fifteen trillion, three hundred fourteen billion, two hundred ninety-four million, fifty-one thousand, seven hundred twelve".