329487031152 has 160 divisors (see below), whose sum is σ = 971762356800. Its totient is φ = 106810970112.

The previous prime is 329487031123. The next prime is 329487031177. The reversal of 329487031152 is 251130784923.

It is a happy number.

329487031152 is a `hidden beast` number, since 329 + 4 + 8 + 7 + 0 + 311 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 329487031098 and 329487031107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52056724 + ... + 52063052.

It is an arithmetic number, because the mean of its divisors is an integer number (6073514730).

Almost surely, 2^329487031152 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 329487031152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485881178400).

329487031152 is an abundant number, since it is smaller than the sum of its proper divisors (642275325648).

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

329487031152 is a wasteful number, since it uses less digits than its factorization.

329487031152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 329487031152 in words is "three hundred twenty-nine billion, four hundred eighty-seven million, thirty-one thousand, one hundred fifty-two".