329449085136 has 320 divisors, whose sum is σ = 995943398400. Its totient is φ = 105463088640.

The previous prime is 329449085131. The next prime is 329449085153. The reversal of 329449085136 is 631580944923.

329449085136 is a `hidden beast` number, since 32 + 9 + 4 + 4 + 90 + 8 + 513 + 6 = 666.

It is a super-2 number, since 2×329449085136² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329449085131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102280006 + ... + 102283226.

It is an arithmetic number, because the mean of its divisors is an integer number (3112323120).

Almost surely, 2^329449085136 is an apocalyptic number.

329449085136 is a gapful number since it is divisible by the number (36) 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 329449085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497971699200).

329449085136 is an abundant number, since it is smaller than the sum of its proper divisors (666494313264).

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

329449085136 is an equidigital number, since it uses as much as digits as its factorization.

329449085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

It can be divided in two parts, 329 and 449085136, that added together give a triangular number (449085465 = T₂₉₉₆₉).

The spelling of 329449085136 in words is "three hundred twenty-nine billion, four hundred forty-nine million, eighty-five thousand, one hundred thirty-six".