324149064120 has 384 divisors, whose sum is σ = 1215212544000. Its totient is φ = 73403255808.

The previous prime is 324149064097. The next prime is 324149064143. The reversal of 324149064120 is 21460941423.

324149064120 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 4 + 9 + 0 + 641 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (324149064097) and next prime (324149064143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 146872057 + ... + 146874263.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616000).

Almost surely, 2^324149064120 is an apocalyptic number.

324149064120 is a gapful number since it is divisible by the number (30) 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 324149064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607606272000).

324149064120 is an abundant number, since it is smaller than the sum of its proper divisors (891063479880).

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

324149064120 is a wasteful number, since it uses less digits than its factorization.

324149064120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 324149064120 in words is "three hundred twenty-four billion, one hundred forty-nine million, sixty-four thousand, one hundred twenty".