16972846272 has 196 divisors, whose sum is σ = 50901438456. Its totient is φ = 5612405760.

The previous prime is 16972846271. The next prime is 16972846277. The reversal of 16972846272 is 27264827961.

16972846272 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 2 + 8 + 4 + 627 + 2 = 666.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (16972846271) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6110548 + ... + 6113324.

Almost surely, 2^16972846272 is an apocalyptic number.

16972846272 is a gapful number since it is divisible by the number (12) 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 16972846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450719228).

16972846272 is an abundant number, since it is smaller than the sum of its proper divisors (33928592184).

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

16972846272 is an equidigital number, since it uses as much as digits as its factorization.

16972846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2913 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

It can be divided in two parts, 169728 and 46272, that added together give a cube (216000 = 60³).

The spelling of 16972846272 in words is "sixteen billion, nine hundred seventy-two million, eight hundred forty-six thousand, two hundred seventy-two".