1138806481680 has 400 divisors, whose sum is σ = 4577511544320. Its totient is φ = 257002896384.

The previous prime is 1138806481661. The next prime is 1138806481691. The reversal of 1138806481680 is 861846088311.

It is a happy number.

1138806481680 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 80 + 6 + 481 + 6 + 80 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3424542 + ... + 3742338.

Almost surely, 2^{1138806481680} is an apocalyptic number.

1138806481680 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 1138806481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288755772160).

1138806481680 is an abundant number, since it is smaller than the sum of its proper divisors (3438705062640).

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

1138806481680 is a wasteful number, since it uses less digits than its factorization.

1138806481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317908 (or 317893 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1138806481680 in words is "one trillion, one hundred thirty-eight billion, eight hundred six million, four hundred eighty-one thousand, six hundred eighty".