1109916531792 has 320 divisors, whose sum is σ = 3428771616000. Its totient is φ = 347008665600.

The previous prime is 1109916531701. The next prime is 1109916531803. The reversal of 1109916531792 is 2971356199011.

1109916531792 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 16 + 531 + 7 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67141384 + ... + 67157912.

It is an arithmetic number, because the mean of its divisors is an integer number (10714911300).

Almost surely, 2^{1109916531792} is an apocalyptic number.

1109916531792 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 1109916531792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714385808000).

1109916531792 is an abundant number, since it is smaller than the sum of its proper divisors (2318855084208).

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

1109916531792 is a wasteful number, since it uses less digits than its factorization.

1109916531792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16678 (or 16654 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 1109916531792 in words is "one trillion, one hundred nine billion, nine hundred sixteen million, five hundred thirty-one thousand, seven hundred ninety-two".