16346385900 has 576 divisors, whose sum is σ = 60351692800. Its totient is φ = 3762339840.

The previous prime is 16346385889. The next prime is 16346385953. The reversal of 16346385900 is 958364361.

16346385900 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 638 + 5 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84696204 + ... + 84696396.

Almost surely, 2^16346385900 is an apocalyptic number.

16346385900 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 16346385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30175846400).

16346385900 is an abundant number, since it is smaller than the sum of its proper divisors (44005306900).

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

16346385900 is a wasteful number, since it uses less digits than its factorization.

16346385900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16346385900 in words is "sixteen billion, three hundred forty-six million, three hundred eighty-five thousand, nine hundred".