109719134496 has 576 divisors, whose sum is σ = 350100092160. Its totient is φ = 33721712640.

The previous prime is 109719134477. The next prime is 109719134507. The reversal of 109719134496 is 694431917901.

109719134496 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 19 + 134 + 496 = 666.

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 95 ways as a sum of consecutive naturals, for example, 970965736 + ... + 970965848.

It is an arithmetic number, because the mean of its divisors is an integer number (607812660).

Almost surely, 2^109719134496 is an apocalyptic number.

109719134496 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 109719134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175050046080).

109719134496 is an abundant number, since it is smaller than the sum of its proper divisors (240380957664).

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

109719134496 is a wasteful number, since it uses less digits than its factorization.

109719134496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 109719134496 in words is "one hundred nine billion, seven hundred nineteen million, one hundred thirty-four thousand, four hundred ninety-six".