109649118869952 has 224 divisors, whose sum is σ = 293134928486400. Its totient is φ = 36171413606400.

The previous prime is 109649118869903. The next prime is 109649118869963. The reversal of 109649118869952 is 259968811946901.

It is a super-2 number, since 2×109649118869952² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6163170177 + ... + 6163187967.

It is an arithmetic number, because the mean of its divisors is an integer number (1308638073600).

Almost surely, 2^{109649118869952} is an apocalyptic number.

109649118869952 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 109649118869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146567464243200).

109649118869952 is an abundant number, since it is smaller than the sum of its proper divisors (183485809616448).

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

109649118869952 is a wasteful number, since it uses less digits than its factorization.

109649118869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 78.

The spelling of 109649118869952 in words is "one hundred nine trillion, six hundred forty-nine billion, one hundred eighteen million, eight hundred sixty-nine thousand, nine hundred fifty-two".