1138188932496 has 960 divisors, whose sum is σ = 4398918451200. Its totient is φ = 276166195200.

The previous prime is 1138188932473. The next prime is 1138188932599. The reversal of 1138188932496 is 6942398818311.

1138188932496 is a `hidden beast` number, since 1 + 1 + 38 + 1 + 8 + 89 + 32 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269136910 + ... + 269141138.

It is an arithmetic number, because the mean of its divisors is an integer number (4582206720).

Almost surely, 2^{1138188932496} is an apocalyptic number.

1138188932496 is a gapful number since it is divisible by the number (16) 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 1138188932496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199459225600).

1138188932496 is an abundant number, since it is smaller than the sum of its proper divisors (3260729518704).

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

1138188932496 is a wasteful number, since it uses less digits than its factorization.

1138188932496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4312 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 1138188932496 in words is "one trillion, one hundred thirty-eight billion, one hundred eighty-eight million, nine hundred thirty-two thousand, four hundred ninety-six".