331433784045 has 256 divisors, whose sum is σ = 740425728000. Its totient is φ = 136949170176.

The previous prime is 331433784023. The next prime is 331433784053. The reversal of 331433784045 is 540487334133.

331433784045 is a `hidden beast` number, since 33 + 143 + 3 + 78 + 404 + 5 = 666.

It is not a de Polignac number, because 331433784045 - 2⁵ = 331433784013 is a prime.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123254061 + ... + 123256749.

It is an arithmetic number, because the mean of its divisors is an integer number (2892288000).

Almost surely, 2^331433784045 is an apocalyptic number.

331433784045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331433784045 is an abundant number, since it is smaller than the sum of its proper divisors (408991943955).

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

331433784045 is a wasteful number, since it uses less digits than its factorization.

331433784045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 331433784045 in words is "three hundred thirty-one billion, four hundred thirty-three million, seven hundred eighty-four thousand, forty-five".