109374354164736 has 528 divisors, whose sum is σ = 333555507118080. Its totient is φ = 34470371819520.

The previous prime is 109374354164731. The next prime is 109374354164743. The reversal of 109374354164736 is 637461453473901.

109374354164736 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 7 + 43 + 541 + 6 + 47 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (109374354164731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3618896121 + ... + 3618926343.

Almost surely, 2^{109374354164736} is an apocalyptic number.

109374354164736 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 109374354164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166777753559040).

109374354164736 is an abundant number, since it is smaller than the sum of its proper divisors (224181152953344).

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

109374354164736 is a wasteful number, since it uses less digits than its factorization.

109374354164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30572 (or 30551 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 109374354164736 in words is "one hundred nine trillion, three hundred seventy-four billion, three hundred fifty-four million, one hundred sixty-four thousand, seven hundred thirty-six".