322145754840 has 576 divisors, whose sum is σ = 1316102074560. Its totient is φ = 67735664640.

The previous prime is 322145754803. The next prime is 322145754871. The reversal of 322145754840 is 48457541223.

322145754840 is a `hidden beast` number, since 3 + 2 + 2 + 14 + 57 + 548 + 40 = 666.

It is a super-2 number, since 2×322145754840² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71316262 + ... + 71320778.

It is an arithmetic number, because the mean of its divisors is an integer number (2284899435).

Almost surely, 2^322145754840 is an apocalyptic number.

322145754840 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 322145754840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658051037280).

322145754840 is an abundant number, since it is smaller than the sum of its proper divisors (993956319720).

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

322145754840 is a wasteful number, since it uses less digits than its factorization.

322145754840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 322145754840 in words is "three hundred twenty-two billion, one hundred forty-five million, seven hundred fifty-four thousand, eight hundred forty".