16690114800 has 720 divisors, whose sum is σ = 64475873280. Its totient is φ = 4136832000.

The previous prime is 16690114787. The next prime is 16690114849. The reversal of 16690114800 is 841109661.

It is a happy number.

16690114800 is a `hidden beast` number, since 166 + 9 + 0 + 11 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87382705 + ... + 87382895.

It is an arithmetic number, because the mean of its divisors is an integer number (89549824).

Almost surely, 2^16690114800 is an apocalyptic number.

16690114800 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 16690114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32237936640).

16690114800 is an abundant number, since it is smaller than the sum of its proper divisors (47785758480).

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

16690114800 is a wasteful number, since it uses less digits than its factorization.

16690114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 16690114800 in words is "sixteen billion, six hundred ninety million, one hundred fourteen thousand, eight hundred".