15335838780864 has 224 divisors, whose sum is σ = 48455488413696. Its totient is φ = 4185389767680.

The previous prime is 15335838780863. The next prime is 15335838780901. The reversal of 15335838780864 is 46808783853351.

15335838780864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×15335838780864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15335838780863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22131819 + ... + 22814229.

It is an arithmetic number, because the mean of its divisors is an integer number (216319144704).

Almost surely, 2^{15335838780864} is an apocalyptic number.

15335838780864 is a gapful number since it is divisible by the number (14) 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 15335838780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227744206848).

15335838780864 is an abundant number, since it is smaller than the sum of its proper divisors (33119649632832).

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

15335838780864 is a wasteful number, since it uses less digits than its factorization.

15335838780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683183 (or 683173 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 69.

The spelling of 15335838780864 in words is "fifteen trillion, three hundred thirty-five billion, eight hundred thirty-eight million, seven hundred eighty thousand, eight hundred sixty-four".