1138655232000 has 1824 divisors, whose sum is σ = 5001546985344. Its totient is φ = 254803968000.

The previous prime is 1138655231999. The next prime is 1138655232023. The reversal of 1138655232000 is 2325568311.

1138655232000 is a `hidden beast` number, since 1 + 1 + 3 + 86 + 552 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 87588863994 + ... + 87588864006.

Almost surely, 2^{1138655232000} is an apocalyptic number.

1138655232000 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 1138655232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500773492672).

1138655232000 is an abundant number, since it is smaller than the sum of its proper divisors (3862891753344).

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

1138655232000 is an frugal number, since it uses more digits than its factorization.

1138655232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1138655232000 in words is "one trillion, one hundred thirty-eight billion, six hundred fifty-five million, two hundred thirty-two thousand".