1138615123968 has 552 divisors, whose sum is σ = 3908419773440. Its totient is φ = 312559534080.

The previous prime is 1138615123931. The next prime is 1138615123979. The reversal of 1138615123968 is 8693215168311.

1138615123968 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 61 + 512 + 3 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8191475643 + ... + 8191475781.

Almost surely, 2^{1138615123968} is an apocalyptic number.

1138615123968 is a gapful number since it is divisible by the number (18) 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 1138615123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954209886720).

1138615123968 is an abundant number, since it is smaller than the sum of its proper divisors (2769804649472).

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

1138615123968 is an frugal number, since it uses more digits than its factorization.

1138615123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 182 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 1138615123968 in words is "one trillion, one hundred thirty-eight billion, six hundred fifteen million, one hundred twenty-three thousand, nine hundred sixty-eight".