16499174400 has 396 divisors, whose sum is σ = 62200551400. Its totient is φ = 4167106560.

The previous prime is 16499174387. The next prime is 16499174477. The reversal of 16499174400 is 447199461.

16499174400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 4375716 + ... + 4379484.

Almost surely, 2^16499174400 is an apocalyptic number.

16499174400 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 16499174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31100275700).

16499174400 is an abundant number, since it is smaller than the sum of its proper divisors (45701377000).

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

16499174400 is a wasteful number, since it uses less digits than its factorization.

16499174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16499174400 in words is "sixteen billion, four hundred ninety-nine million, one hundred seventy-four thousand, four hundred".