64322145119232 has 4752 divisors, whose sum is σ = 277643120541696. Its totient is φ = 14163119308800.

The previous prime is 64322145119213. The next prime is 64322145119237. The reversal of 64322145119232 is 23291154122346.

64322145119232 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 2 + 1 + 451 + 192 + 3 + 2 = 666.

Its product of digits (622080) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (64322145119237) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 506473583553 + ... + 506473583679.

Almost surely, 2^{64322145119232} is an apocalyptic number.

64322145119232 is a gapful number since it is divisible by the number (62) 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 64322145119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138821560270848).

64322145119232 is an abundant number, since it is smaller than the sum of its proper divisors (213320975422464).

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

64322145119232 is a wasteful number, since it uses less digits than its factorization.

64322145119232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 64322145119232 in words is "sixty-four trillion, three hundred twenty-two billion, one hundred forty-five million, one hundred nineteen thousand, two hundred thirty-two".