331503943680 has 1680 divisors, whose sum is σ = 1492168286784. Its totient is φ = 68797071360.

The previous prime is 331503943633. The next prime is 331503943709. The reversal of 331503943680 is 86349305133.

331503943680 is a `hidden beast` number, since 3 + 3 + 150 + 394 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×331503943680² (a number of 24 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5434490850 + ... + 5434490910.

Almost surely, 2^331503943680 is an apocalyptic number.

331503943680 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 331503943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746084143392).

331503943680 is an abundant number, since it is smaller than the sum of its proper divisors (1160664343104).

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

331503943680 is an frugal number, since it uses more digits than its factorization.

331503943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 331503943680 in words is "three hundred thirty-one billion, five hundred three million, nine hundred forty-three thousand, six hundred eighty".