109249269759936 has 672 divisors, whose sum is σ = 352172937715200. Its totient is φ = 33137421926400.

The previous prime is 109249269759919. The next prime is 109249269759961. The reversal of 109249269759936 is 639957962942901.

109249269759936 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 492 + 6 + 9 + 7 + 5 + 99 + 36 = 666.

It is a congruent number.

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, 2253420816 + ... + 2253469296.

It is an arithmetic number, because the mean of its divisors is an integer number (524066871600).

Almost surely, 2^{109249269759936} is an apocalyptic number.

109249269759936 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 109249269759936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176086468857600).

109249269759936 is an abundant number, since it is smaller than the sum of its proper divisors (242923667955264).

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

109249269759936 is a wasteful number, since it uses less digits than its factorization.

109249269759936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48646 (or 48599 counting only the distinct ones).

The product of its (nonzero) digits is 3571283520, while the sum is 81.

The spelling of 109249269759936 in words is "one hundred nine trillion, two hundred forty-nine billion, two hundred sixty-nine million, seven hundred fifty-nine thousand, nine hundred thirty-six".