2115447696768 has 512 divisors, whose sum is σ = 6778100736000. Its totient is φ = 571531935744.

The previous prime is 2115447696763. The next prime is 2115447696839. The reversal of 2115447696768 is 8676967445112.

It is a super-4 number, since 4×2115447696768⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2115447696699 and 2115447696708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115447696763) 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, 3210087223 + ... + 3210087881.

It is an arithmetic number, because the mean of its divisors is an integer number (13238478000).

Almost surely, 2^{2115447696768} is an apocalyptic number.

2115447696768 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 2115447696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389050368000).

2115447696768 is an abundant number, since it is smaller than the sum of its proper divisors (4662653039232).

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

2115447696768 is a wasteful number, since it uses less digits than its factorization.

2115447696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 66.

The spelling of 2115447696768 in words is "two trillion, one hundred fifteen billion, four hundred forty-seven million, six hundred ninety-six thousand, seven hundred sixty-eight".