16698509100 has 1152 divisors, whose sum is σ = 71939840000. Its totient is φ = 3292047360.

The previous prime is 16698509071. The next prime is 16698509129. The reversal of 16698509100 is 190589661.

It is an interprime number because it is at equal distance from previous prime (16698509071) and next prime (16698509129).

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 383 ways as a sum of consecutive naturals, for example, 228746664 + ... + 228746736.

Almost surely, 2^16698509100 is an apocalyptic number.

16698509100 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 16698509100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35969920000).

16698509100 is an abundant number, since it is smaller than the sum of its proper divisors (55241330900).

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

16698509100 is a wasteful number, since it uses less digits than its factorization.

16698509100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 16698509100 in words is "sixteen billion, six hundred ninety-eight million, five hundred nine thousand, one hundred".