2315416689768 has 384 divisors, whose sum is σ = 7377242400000. Its totient is φ = 605017340928.

The previous prime is 2315416689749. The next prime is 2315416689793. The reversal of 2315416689768 is 8679866145132.

It is a super-2 number, since 2×2315416689768² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2315416689699 and 2315416689708.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151634038 + ... + 151649306.

It is an arithmetic number, because the mean of its divisors is an integer number (19211568750).

Almost surely, 2^{2315416689768} is an apocalyptic number.

2315416689768 is a gapful number since it is divisible by the number (28) 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 2315416689768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688621200000).

2315416689768 is an abundant number, since it is smaller than the sum of its proper divisors (5061825710232).

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

2315416689768 is a wasteful number, since it uses less digits than its factorization.

2315416689768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15434 (or 15403 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 2315416689768 in words is "two trillion, three hundred fifteen billion, four hundred sixteen million, six hundred eighty-nine thousand, seven hundred sixty-eight".