332017114423680 has 640 divisors, whose sum is σ = 1360654599617280. Its totient is φ = 75889605998592.

The previous prime is 332017114423669. The next prime is 332017114423697. The reversal of 332017114423680 is 86324411710233.

It is a happy number.

332017114423680 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 171 + 1 + 442 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×332017114423680² (a number of 30 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 79 ways as a sum of consecutive naturals, for example, 86297227 + ... + 90062453.

It is an arithmetic number, because the mean of its divisors is an integer number (2126022811902).

Almost surely, 2^{332017114423680} is an apocalyptic number.

332017114423680 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 332017114423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680327299808640).

332017114423680 is an abundant number, since it is smaller than the sum of its proper divisors (1028637485193600).

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

332017114423680 is an frugal number, since it uses more digits than its factorization.

332017114423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765280 (or 3765244 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 332017114423680 in words is "three hundred thirty-two trillion, seventeen billion, one hundred fourteen million, four hundred twenty-three thousand, six hundred eighty".