1110427838136 has 320 divisors, whose sum is σ = 3185609011200. Its totient is φ = 361308729600.

The previous prime is 1110427838123. The next prime is 1110427838153. The reversal of 1110427838136 is 6318387240111.

1110427838136 is a `hidden beast` number, since 1 + 1 + 10 + 427 + 83 + 8 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1110427838091 and 1110427838100.

It is a congruent number.

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, 2408736946 + ... + 2408737406.

It is an arithmetic number, because the mean of its divisors is an integer number (9955028160).

Almost surely, 2^{1110427838136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110427838136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592804505600).

1110427838136 is an abundant number, since it is smaller than the sum of its proper divisors (2075181173064).

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

1110427838136 is a wasteful number, since it uses less digits than its factorization.

1110427838136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1110427838136 in words is "one trillion, one hundred ten billion, four hundred twenty-seven million, eight hundred thirty-eight thousand, one hundred thirty-six".