16914071400 has 96 divisors (see below), whose sum is σ = 52453383840. Its totient is φ = 4508719360.

The previous prime is 16914071387. The next prime is 16914071411. The reversal of 16914071400 is 417041961.

16914071400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16914071400² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3085462 + ... + 3090938.

It is an arithmetic number, because the mean of its divisors is an integer number (546389415).

Almost surely, 2^16914071400 is an apocalyptic number.

16914071400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16914071400 is an abundant number, since it is smaller than the sum of its proper divisors (35539312440).

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

16914071400 is a wasteful number, since it uses less digits than its factorization.

16914071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 16914071400 in words is "sixteen billion, nine hundred fourteen million, seventy-one thousand, four hundred".