179949745152 has 220 divisors, whose sum is σ = 538095053760. Its totient is φ = 59901825024.

The previous prime is 179949745141. The next prime is 179949745169. The reversal of 179949745152 is 251547949971.

179949745152 is a `hidden beast` number, since 1 + 7 + 9 + 9 + 49 + 74 + 515 + 2 = 666.

It is a super-3 number, since 3×179949745152³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 179949745152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121014553 + ... + 121016039.

It is an arithmetic number, because the mean of its divisors is an integer number (2445886608).

Almost surely, 2^179949745152 is an apocalyptic number.

179949745152 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 179949745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269047526880).

179949745152 is an abundant number, since it is smaller than the sum of its proper divisors (358145308608).

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

179949745152 is a wasteful number, since it uses less digits than its factorization.

179949745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2951 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 179949745152 in words is "one hundred seventy-nine billion, nine hundred forty-nine million, seven hundred forty-five thousand, one hundred fifty-two".