109869957456 has 320 divisors, whose sum is σ = 353394524160. Its totient is φ = 28725903360.

The previous prime is 109869957451. The next prime is 109869957493. The reversal of 109869957456 is 654759968901.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109869957451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21318976 + ... + 21324128.

It is an arithmetic number, because the mean of its divisors is an integer number (1104357888).

Almost surely, 2^109869957456 is an apocalyptic number.

109869957456 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 109869957456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176697262080).

109869957456 is an abundant number, since it is smaller than the sum of its proper divisors (243524566704).

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

109869957456 is a wasteful number, since it uses less digits than its factorization.

109869957456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 109869957456 in words is "one hundred nine billion, eight hundred sixty-nine million, nine hundred fifty-seven thousand, four hundred fifty-six".