15109486630368 has 384 divisors, whose sum is σ = 45450737418240. Its totient is φ = 4362167900160.

The previous prime is 15109486630363. The next prime is 15109486630391. The reversal of 15109486630368 is 86303668490151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15109486630361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194523123 + ... + 194600781.

It is an arithmetic number, because the mean of its divisors is an integer number (118361295360).

Almost surely, 2^{15109486630368} 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 15109486630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725368709120).

15109486630368 is an abundant number, since it is smaller than the sum of its proper divisors (30341250787872).

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

15109486630368 is a wasteful number, since it uses less digits than its factorization.

15109486630368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77870 (or 77862 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 15109486630368 in words is "fifteen trillion, one hundred nine billion, four hundred eighty-six million, six hundred thirty thousand, three hundred sixty-eight".