109456094966400 has 2304 divisors, whose sum is σ = 505960376463360. Its totient is φ = 22748360785920.

The previous prime is 109456094966347. The next prime is 109456094966423. The reversal of 109456094966400 is 4669490654901.

109456094966400 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 56 + 0 + 94 + 96 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4741015657 + ... + 4741038743.

It is an arithmetic number, because the mean of its divisors is an integer number (219600857840).

Almost surely, 2^{109456094966400} is an apocalyptic number.

109456094966400 is a gapful number since it is divisible by the number (10) 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 109456094966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252980188231680).

109456094966400 is an abundant number, since it is smaller than the sum of its proper divisors (396504281496960).

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

109456094966400 is a wasteful number, since it uses less digits than its factorization.

109456094966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23213 (or 23184 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 109456094966400 in words is "one hundred nine trillion, four hundred fifty-six billion, ninety-four million, nine hundred sixty-six thousand, four hundred".