16974048960 has 560 divisors, whose sum is σ = 67691020320. Its totient is φ = 4001218560.

The previous prime is 16974048953. The next prime is 16974049003. The reversal of 16974048960 is 6984047961.

16974048960 is a `hidden beast` number, since 1 + 69 + 7 + 40 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16974048897 and 16974048906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10548636 + ... + 10550244.

It is an arithmetic number, because the mean of its divisors is an integer number (120876822).

Almost surely, 2^16974048960 is an apocalyptic number.

16974048960 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 16974048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33845510160).

16974048960 is an abundant number, since it is smaller than the sum of its proper divisors (50716971360).

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

16974048960 is a wasteful number, since it uses less digits than its factorization.

16974048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

Subtracting from 16974048960 its reverse (6984047961), we obtain a palindrome (9990000999).

The spelling of 16974048960 in words is "sixteen billion, nine hundred seventy-four million, forty-eight thousand, nine hundred sixty".