368008172532 has 1344 divisors, whose sum is σ = 1382027673600. Its totient is φ = 84358713600.

The previous prime is 368008172513. The next prime is 368008172533. The reversal of 368008172532 is 235271800863.

368008172532 is a `hidden beast` number, since 36 + 8 + 0 + 0 + 81 + 7 + 2 + 532 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368008172533) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4433833363 + ... + 4433833445.

It is an arithmetic number, because the mean of its divisors is an integer number (1028294400).

Almost surely, 2^368008172532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368008172532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691013836800).

368008172532 is an abundant number, since it is smaller than the sum of its proper divisors (1014019501068).

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

368008172532 is a wasteful number, since it uses less digits than its factorization.

368008172532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 368008172532 in words is "three hundred sixty-eight billion, eight million, one hundred seventy-two thousand, five hundred thirty-two".