315766025027412 has 192 divisors, whose sum is σ = 785052898366464. Its totient is φ = 98440666122240.

The previous prime is 315766025027399. The next prime is 315766025027437. The reversal of 315766025027412 is 214720520667513.

It is a super-3 number, since 3×315766025027412³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63115333303 + ... + 63115338305.

It is an arithmetic number, because the mean of its divisors is an integer number (4088817178992).

Almost surely, 2^{315766025027412} 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 315766025027412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392526449183232).

315766025027412 is an abundant number, since it is smaller than the sum of its proper divisors (469286873339052).

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

315766025027412 is a wasteful number, since it uses less digits than its factorization.

315766025027412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 315766025027412 in words is "three hundred fifteen trillion, seven hundred sixty-six billion, twenty-five million, twenty-seven thousand, four hundred twelve".