1109729082672 has 160 divisors (see below), whose sum is σ = 3729171317760. Its totient is φ = 309332113920.

The previous prime is 1109729082659. The next prime is 1109729082691. The reversal of 1109729082672 is 2762809279011.

1109729082672 is a `hidden beast` number, since 1 + 1 + 0 + 97 + 290 + 8 + 267 + 2 = 666.

It is a super-2 number, since 2×1109729082672² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4351308 + ... + 4599275.

It is an arithmetic number, because the mean of its divisors is an integer number (23307320736).

Almost surely, 2^{1109729082672} is an apocalyptic number.

1109729082672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1109729082672 is an abundant number, since it is smaller than the sum of its proper divisors (2619442235088).

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

1109729082672 is a wasteful number, since it uses less digits than its factorization.

1109729082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950648 (or 8950636 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1109729082672 in words is "one trillion, one hundred nine billion, seven hundred twenty-nine million, eighty-two thousand, six hundred seventy-two".