1138964843520 has 1584 divisors, whose sum is σ = 4892677171200. Its totient is φ = 243576668160.

The previous prime is 1138964843519. The next prime is 1138964843561. The reversal of 1138964843520 is 253484698311.

It is a happy number.

1138964843520 is a `hidden beast` number, since 1 + 1 + 38 + 9 + 6 + 4 + 84 + 3 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5963166625 + ... + 5963166815.

Almost surely, 2^{1138964843520} is an apocalyptic number.

1138964843520 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 1138964843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446338585600).

1138964843520 is an abundant number, since it is smaller than the sum of its proper divisors (3753712327680).

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

1138964843520 is a wasteful number, since it uses less digits than its factorization.

1138964843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1138964843520 in words is "one trillion, one hundred thirty-eight billion, nine hundred sixty-four million, eight hundred forty-three thousand, five hundred twenty".