31845084234480 has 720 divisors, whose sum is σ = 126417829883904. Its totient is φ = 7384336565760.

The previous prime is 31845084234461. The next prime is 31845084234517. The reversal of 31845084234480 is 8443248054813.

31845084234480 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 50 + 84 + 2 + 34 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×31845084234480² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132674737 + ... + 132914543.

Almost surely, 2^{31845084234480} is an apocalyptic number.

31845084234480 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 31845084234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63208914941952).

31845084234480 is an abundant number, since it is smaller than the sum of its proper divisors (94572745649424).

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

31845084234480 is a wasteful number, since it uses less digits than its factorization.

31845084234480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239878 (or 239851 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 31845084234480 in words is "thirty-one trillion, eight hundred forty-five billion, eighty-four million, two hundred thirty-four thousand, four hundred eighty".