1138845718080 has 840 divisors, whose sum is σ = 4886579130048. Its totient is φ = 246593009664.

The previous prime is 1138845718009. The next prime is 1138845718117. The reversal of 1138845718080 is 808175488311.

1138845718080 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 8 + 457 + 180 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65491147 + ... + 65508533.

Almost surely, 2^{1138845718080} is an apocalyptic number.

1138845718080 is a gapful number since it is divisible by the number (10) 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 1138845718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443289565024).

1138845718080 is an abundant number, since it is smaller than the sum of its proper divisors (3747733411968).

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

1138845718080 is a wasteful number, since it uses less digits than its factorization.

1138845718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17461 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1138845718080 in words is "one trillion, one hundred thirty-eight billion, eight hundred forty-five million, seven hundred eighteen thousand, eighty".