332116217955000 has 2560 divisors, whose sum is σ = 1320306666624000. Its totient is φ = 76816097280000.

The previous prime is 332116217954987. The next prime is 332116217955029. The reversal of 332116217955000 is 559712611233.

332116217955000 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 1 + 6 + 21 + 79 + 550 + 0 + 0 = 666.

It is a super-3 number, since 3×332116217955000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 639 ways as a sum of consecutive naturals, for example, 302749514452 + ... + 302749515548.

It is an arithmetic number, because the mean of its divisors is an integer number (515744791650).

Almost surely, 2^{332116217955000} is an apocalyptic number.

332116217955000 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 332116217955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660153333312000).

332116217955000 is an abundant number, since it is smaller than the sum of its proper divisors (988190448669000).

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

332116217955000 is a wasteful number, since it uses less digits than its factorization.

332116217955000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 332116217955000 in words is "three hundred thirty-two trillion, one hundred sixteen billion, two hundred seventeen million, nine hundred fifty-five thousand".