331701943680 has 384 divisors, whose sum is σ = 1227427175520. Its totient is φ = 82245648384.

The previous prime is 331701943679. The next prime is 331701943691. The reversal of 331701943680 is 86349107133.

331701943680 is a `hidden beast` number, since 3 + 31 + 70 + 194 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×331701943680² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 8106954 + ... + 8147766.

Almost surely, 2^331701943680 is an apocalyptic number.

331701943680 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 331701943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613713587760).

331701943680 is an abundant number, since it is smaller than the sum of its proper divisors (895725231840).

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

331701943680 is a wasteful number, since it uses less digits than its factorization.

331701943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40938 (or 40923 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 331701943680 in words is "three hundred thirty-one billion, seven hundred one million, nine hundred forty-three thousand, six hundred eighty".