16830471989088 has 576 divisors, whose sum is σ = 54340493276160. Its totient is φ = 4915002064896.

The previous prime is 16830471989033. The next prime is 16830471989101. The reversal of 16830471989088 is 88098917403861.

16830471989088 is a `hidden beast` number, since 1 + 6 + 8 + 304 + 71 + 98 + 90 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447088795 + ... + 447126437.

It is an arithmetic number, because the mean of its divisors is an integer number (94341134160).

Almost surely, 2^{16830471989088} is an apocalyptic number.

16830471989088 is a gapful number since it is divisible by the number (18) 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 16830471989088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170246638080).

16830471989088 is an abundant number, since it is smaller than the sum of its proper divisors (37510021287072).

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

16830471989088 is a wasteful number, since it uses less digits than its factorization.

16830471989088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37819 (or 37808 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 16830471989088 in words is "sixteen trillion, eight hundred thirty billion, four hundred seventy-one million, nine hundred eighty-nine thousand, eighty-eight".