331976226816 has 864 divisors, whose sum is σ = 1130926895280. Its totient is φ = 96698105856.

The previous prime is 331976226773. The next prime is 331976226821. The reversal of 331976226816 is 618622679133.

331976226816 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 7 + 622 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×331976226816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3422435280 + ... + 3422435376.

Almost surely, 2^331976226816 is an apocalyptic number.

331976226816 is a gapful number since it is divisible by the number (36) 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 331976226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565463447640).

331976226816 is an abundant number, since it is smaller than the sum of its proper divisors (798950668464).

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

331976226816 is an equidigital number, since it uses as much as digits as its factorization.

331976226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 138 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 331976226816 in words is "three hundred thirty-one billion, nine hundred seventy-six million, two hundred twenty-six thousand, eight hundred sixteen".