32981225904 has 240 divisors, whose sum is σ = 109219821984. Its totient is φ = 9176678400.

The previous prime is 32981225897. The next prime is 32981225941. The reversal of 32981225904 is 40952218923.

32981225904 is a `hidden beast` number, since 32 + 9 + 8 + 1 + 22 + 590 + 4 = 666.

It is a super-2 number, since 2×32981225904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32981225904.

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 47 ways as a sum of consecutive naturals, for example, 1089112 + ... + 1118984.

Almost surely, 2^32981225904 is an apocalyptic number.

32981225904 is a gapful number since it is divisible by the number (34) 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 32981225904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609910992).

32981225904 is an abundant number, since it is smaller than the sum of its proper divisors (76238596080).

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

32981225904 is a wasteful number, since it uses less digits than its factorization.

32981225904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29956 (or 29947 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 32981225904 in words is "thirty-two billion, nine hundred eighty-one million, two hundred twenty-five thousand, nine hundred four".