322405645650000 has 480 divisors, whose sum is σ = 1136179331868672. Its totient is φ = 78124200000000.

The previous prime is 322405645649921. The next prime is 322405645650001. The reversal of 322405645650000 is 56546504223.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322405645650001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3813107725 + ... + 3813192275.

Almost surely, 2^{322405645650000} is an apocalyptic number.

322405645650000 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 322405645650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568089665934336).

322405645650000 is an abundant number, since it is smaller than the sum of its proper divisors (813773686218672).

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

322405645650000 is a wasteful number, since it uses less digits than its factorization.

322405645650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86909 (or 86883 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 322405645650000 in words is "three hundred twenty-two trillion, four hundred five billion, six hundred forty-five million, six hundred fifty thousand".