109046172672 has 528 divisors, whose sum is σ = 344693838720. Its totient is φ = 34028273664.

The previous prime is 109046172661. The next prime is 109046172691. The reversal of 109046172672 is 276271640901.

109046172672 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 4 + 617 + 26 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1627554783 + ... + 1627554849.

It is an arithmetic number, because the mean of its divisors is an integer number (652829240).

Almost surely, 2^109046172672 is an apocalyptic number.

109046172672 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 109046172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346919360).

109046172672 is an abundant number, since it is smaller than the sum of its proper divisors (235647666048).

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

109046172672 is an equidigital number, since it uses as much as digits as its factorization.

109046172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 109046172672 in words is "one hundred nine billion, forty-six million, one hundred seventy-two thousand, six hundred seventy-two".