15113606467680 has 216 divisors, whose sum is σ = 59995620240192. Its totient is φ = 3454538605056.

The previous prime is 15113606467669. The next prime is 15113606467681. The reversal of 15113606467680 is 8676460631151.

It is a happy number.

15113606467680 is a `hidden beast` number, since 1 + 5 + 113 + 6 + 0 + 6 + 467 + 68 + 0 = 666.

It is a super-2 number, since 2×15113606467680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15113606467681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107026992 + ... + 107168111.

It is an arithmetic number, because the mean of its divisors is an integer number (277757501112).

Almost surely, 2^{15113606467680} is an apocalyptic number.

15113606467680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15113606467680 is an abundant number, since it is smaller than the sum of its proper divisors (44882013772512).

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

15113606467680 is a wasteful number, since it uses less digits than its factorization.

15113606467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214195138 (or 214195120 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 15113606467680 in words is "fifteen trillion, one hundred thirteen billion, six hundred six million, four hundred sixty-seven thousand, six hundred eighty".