332377340822016 has 3840 divisors, whose sum is σ = 1239961825935360. Its totient is φ = 78283423088640.

The previous prime is 332377340821969. The next prime is 332377340822069. The reversal of 332377340822016 is 610228043773233.

It is a happy number.

It is a super-2 number, since 2×332377340822016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 332377340822016.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1451429435790 + ... + 1451429436018.

It is an arithmetic number, because the mean of its divisors is an integer number (322906725504).

Almost surely, 2^{332377340822016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332377340822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619980912967680).

332377340822016 is an abundant number, since it is smaller than the sum of its proper divisors (907584485113344).

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

332377340822016 is a wasteful number, since it uses less digits than its factorization.

332377340822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 332377340822016 in words is "three hundred thirty-two trillion, three hundred seventy-seven billion, three hundred forty million, eight hundred twenty-two thousand, sixteen".