1138055656392 has 320 divisors, whose sum is σ = 3453000503040. Its totient is φ = 348825139200.

The previous prime is 1138055656379. The next prime is 1138055656393. The reversal of 1138055656392 is 2936565508311.

1138055656392 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 556 + 56 + 39 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1138055656393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357765042 + ... + 357768222.

It is an arithmetic number, because the mean of its divisors is an integer number (10790626572).

Almost surely, 2^{1138055656392} is an apocalyptic number.

1138055656392 is a gapful number since it is divisible by the number (12) 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 1138055656392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726500251520).

1138055656392 is an abundant number, since it is smaller than the sum of its proper divisors (2314944846648).

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

1138055656392 is a wasteful number, since it uses less digits than its factorization.

1138055656392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1138055656392 in words is "one trillion, one hundred thirty-eight billion, fifty-five million, six hundred fifty-six thousand, three hundred ninety-two".