331749405000 has 640 divisors, whose sum is σ = 1305519600000. Its totient is φ = 77355648000.

The previous prime is 331749404971. The next prime is 331749405047. The reversal of 331749405000 is 504947133.

It is a super-2 number, since 2×331749405000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33340026 + ... + 33349974.

It is an arithmetic number, because the mean of its divisors is an integer number (2039874375).

Almost surely, 2^331749405000 is an apocalyptic number.

331749405000 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 331749405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652759800000).

331749405000 is an abundant number, since it is smaller than the sum of its proper divisors (973770195000).

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

331749405000 is a wasteful number, since it uses less digits than its factorization.

331749405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 331749405000 in words is "three hundred thirty-one billion, seven hundred forty-nine million, four hundred five thousand".