2231465631120 has 360 divisors, whose sum is σ = 8318801921976. Its totient is φ = 535603200000.

The previous prime is 2231465631119. The next prime is 2231465631139. The reversal of 2231465631120 is 211365641322.

2231465631120 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 6 + 5 + 631 + 12 + 0 = 666.

2231465631120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170047367424 + 2061418263696 = 412368^2 + 1435764^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×2231465631120³ (a number of 38 digits) contains 333 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8672320 + ... + 8925920.

Almost surely, 2^{2231465631120} is an apocalyptic number.

2231465631120 is a gapful number since it is divisible by the number (20) 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 2231465631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159400960988).

2231465631120 is an abundant number, since it is smaller than the sum of its proper divisors (6087336290856).

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

2231465631120 is a wasteful number, since it uses less digits than its factorization.

2231465631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253743 (or 253723 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2231465631120 in words is "two trillion, two hundred thirty-one billion, four hundred sixty-five million, six hundred thirty-one thousand, one hundred twenty".