323148631680 has 1536 divisors, whose sum is σ = 1475615232000. Its totient is φ = 65787199488.

The previous prime is 323148631657. The next prime is 323148631691. The reversal of 323148631680 is 86136841323.

323148631680 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 4 + 8 + 631 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351630261 + ... + 351631179.

It is an arithmetic number, because the mean of its divisors is an integer number (960687000).

Almost surely, 2^323148631680 is an apocalyptic number.

323148631680 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 323148631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737807616000).

323148631680 is an abundant number, since it is smaller than the sum of its proper divisors (1152466600320).

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

323148631680 is a wasteful number, since it uses less digits than its factorization.

323148631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 323148631680 in words is "three hundred twenty-three billion, one hundred forty-eight million, six hundred thirty-one thousand, six hundred eighty".