109334966400 has 960 divisors, whose sum is σ = 454714824960. Its totient is φ = 25629696000.

The previous prime is 109334966359. The next prime is 109334966413. The reversal of 109334966400 is 4669433901.

109334966400 is a `hidden beast` number, since 10 + 93 + 3 + 496 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88386582 + ... + 88387818.

It is an arithmetic number, because the mean of its divisors is an integer number (473661276).

Almost surely, 2^109334966400 is an apocalyptic number.

109334966400 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 109334966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227357412480).

109334966400 is an abundant number, since it is smaller than the sum of its proper divisors (345379858560).

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

109334966400 is a wasteful number, since it uses less digits than its factorization.

109334966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 109334966400 in words is "one hundred nine billion, three hundred thirty-four million, nine hundred sixty-six thousand, four hundred".