46031308259328 has 1428 divisors, whose sum is σ = 164062042555600. Its totient is φ = 12903655145472.

The previous prime is 46031308259311. The next prime is 46031308259359. The reversal of 46031308259328 is 82395280313064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

46031308259328 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 1 + 308 + 2 + 5 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 868515250150 + ... + 868515250202.

Almost surely, 2^{46031308259328} is an apocalyptic number.

46031308259328 is a gapful number since it is divisible by the number (48) 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 46031308259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031021277800).

46031308259328 is an abundant number, since it is smaller than the sum of its proper divisors (118030734296272).

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

46031308259328 is an frugal number, since it uses more digits than its factorization.

46031308259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46031308259328 in words is "forty-six trillion, thirty-one billion, three hundred eight million, two hundred fifty-nine thousand, three hundred twenty-eight".