16972849782 has 128 divisors (see below), whose sum is σ = 43517214720. Its totient is φ = 4803351840.

The previous prime is 16972849763. The next prime is 16972849799. The reversal of 16972849782 is 28794827961.

16972849782 is a `hidden beast` number, since 1 + 69 + 7 + 2 + 8 + 497 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 22843303 + ... + 22844045.

It is an arithmetic number, because the mean of its divisors is an integer number (339978240).

Almost surely, 2^16972849782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16972849782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758607360).

16972849782 is an abundant number, since it is smaller than the sum of its proper divisors (26544364938).

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

16972849782 is a wasteful number, since it uses less digits than its factorization.

16972849782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 16972849782 in words is "sixteen billion, nine hundred seventy-two million, eight hundred forty-nine thousand, seven hundred eighty-two".