166303798272 has 220 divisors, whose sum is σ = 522758274720. Its totient is φ = 52516491264.

The previous prime is 166303798123. The next prime is 166303798301. The reversal of 166303798272 is 272897303661.

166303798272 is a `hidden beast` number, since 1 + 66 + 303 + 7 + 9 + 8 + 272 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1523173 + ... + 1628699.

It is an arithmetic number, because the mean of its divisors is an integer number (2376173976).

Almost surely, 2^166303798272 is an apocalyptic number.

166303798272 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 166303798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261379137360).

166303798272 is an abundant number, since it is smaller than the sum of its proper divisors (356454476448).

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

166303798272 is a wasteful number, since it uses less digits than its factorization.

166303798272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105578 (or 105551 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 166303798272 in words is "one hundred sixty-six billion, three hundred three million, seven hundred ninety-eight thousand, two hundred seventy-two".