1110985172136 has 128 divisors (see below), whose sum is σ = 3530260070400. Its totient is φ = 317125264320.

The previous prime is 1110985172111. The next prime is 1110985172149. The reversal of 1110985172136 is 6312715890111.

1110985172136 is a `hidden beast` number, since 1 + 1 + 10 + 98 + 517 + 2 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1110985172091 and 1110985172100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261641 + ... + 1952871.

It is an arithmetic number, because the mean of its divisors is an integer number (27580156800).

Almost surely, 2^{1110985172136} 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 1110985172136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765130035200).

1110985172136 is an abundant number, since it is smaller than the sum of its proper divisors (2419274898264).

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

1110985172136 is a wasteful number, since it uses less digits than its factorization.

1110985172136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692316 (or 692306 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1110985172136 in words is "one trillion, one hundred ten billion, nine hundred eighty-five million, one hundred seventy-two thousand, one hundred thirty-six".