315551114646534 has 320 divisors, whose sum is σ = 792442251881280. Its totient is φ = 93182576256000.

The previous prime is 315551114646527. The next prime is 315551114646571. The reversal of 315551114646534 is 435646411155513.

315551114646534 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 5 + 1 + 1 + 146 + 465 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28973561229 + ... + 28973572119.

It is an arithmetic number, because the mean of its divisors is an integer number (2476382037129).

Almost surely, 2^{315551114646534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315551114646534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396221125940640).

315551114646534 is an abundant number, since it is smaller than the sum of its proper divisors (476891137234746).

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

315551114646534 is a wasteful number, since it uses less digits than its factorization.

315551114646534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13740 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 315551114646534 in words is "three hundred fifteen trillion, five hundred fifty-one billion, one hundred fourteen million, six hundred forty-six thousand, five hundred thirty-four".