109407549228096 has 1008 divisors, whose sum is σ = 364601341082880. Its totient is φ = 28767779389440.

The previous prime is 109407549228059. The next prime is 109407549228209. The reversal of 109407549228096 is 690822945704901.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120096101881 + ... + 120096102791.

Almost surely, 2^{109407549228096} is an apocalyptic number.

109407549228096 is a gapful number since it is divisible by the number (16) 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 109407549228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182300670541440).

109407549228096 is an abundant number, since it is smaller than the sum of its proper divisors (255193791854784).

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

109407549228096 is a wasteful number, since it uses less digits than its factorization.

109407549228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 109407549228096 in words is "one hundred nine trillion, four hundred seven billion, five hundred forty-nine million, two hundred twenty-eight thousand, ninety-six".