109814459904 has 480 divisors, whose sum is σ = 357636708000. Its totient is φ = 32232701952.

The previous prime is 109814459893. The next prime is 109814459933. The reversal of 109814459904 is 409954418901.

109814459904 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 44 + 599 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132465762 + ... + 132466590.

It is an arithmetic number, because the mean of its divisors is an integer number (745076475).

Almost surely, 2^109814459904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109814459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178818354000).

109814459904 is an abundant number, since it is smaller than the sum of its proper divisors (247822248096).

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

109814459904 is a wasteful number, since it uses less digits than its factorization.

109814459904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 109814459904 in words is "one hundred nine billion, eight hundred fourteen million, four hundred fifty-nine thousand, nine hundred four".