331180064003880 has 1280 divisors, whose sum is σ = 1464444406656000. Its totient is φ = 65207062609920.

The previous prime is 331180064003851. The next prime is 331180064003917. The reversal of 331180064003880 is 88300460081133.

331180064003880 is a `hidden beast` number, since 3 + 31 + 180 + 0 + 6 + 400 + 38 + 8 + 0 = 666.

It is a super-2 number, since 2×331180064003880² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 277438546 + ... + 278629694.

It is an arithmetic number, because the mean of its divisors is an integer number (1144097192700).

Almost surely, 2^{331180064003880} is an apocalyptic number.

331180064003880 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 331180064003880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732222203328000).

331180064003880 is an abundant number, since it is smaller than the sum of its proper divisors (1133264342652120).

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

331180064003880 is a wasteful number, since it uses less digits than its factorization.

331180064003880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191256 (or 1191243 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 331180064003880 in words is "three hundred thirty-one trillion, one hundred eighty billion, sixty-four million, three thousand, eight hundred eighty".