16894994400 has 432 divisors, whose sum is σ = 63775543104. Its totient is φ = 4193648640.

The previous prime is 16894994329. The next prime is 16894994401. The reversal of 16894994400 is 449949861.

It is a happy number.

16894994400 is a `hidden beast` number, since 1 + 68 + 94 + 9 + 94 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16894994401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11872089 + ... + 11873511.

It is an arithmetic number, because the mean of its divisors is an integer number (147628572).

Almost surely, 2^16894994400 is an apocalyptic number.

16894994400 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 16894994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31887771552).

16894994400 is an abundant number, since it is smaller than the sum of its proper divisors (46880548704).

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

16894994400 is a wasteful number, since it uses less digits than its factorization.

16894994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16894994400 in words is "sixteen billion, eight hundred ninety-four million, nine hundred ninety-four thousand, four hundred".