2231268602472 has 288 divisors, whose sum is σ = 7594306410600. Its totient is φ = 586606261248.

The previous prime is 2231268602467. The next prime is 2231268602477. The reversal of 2231268602472 is 2742068621322.

2231268602472 is a `hidden beast` number, since 2 + 2 + 31 + 2 + 6 + 8 + 602 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2231268602467) and next prime (2231268602477).

It can be written as a sum of positive squares in 4 ways, for example, as 1595335720356 + 635932882116 = 1263066^2 + 797454^2 .

It is a super-3 number, since 3×2231268602472³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231268602477) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14462154 + ... + 14615622.

Almost surely, 2^{2231268602472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231268602472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797153205300).

2231268602472 is an abundant number, since it is smaller than the sum of its proper divisors (5363037808128).

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

2231268602472 is a wasteful number, since it uses less digits than its factorization.

2231268602472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153825 (or 153811 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2231268602472 in words is "two trillion, two hundred thirty-one billion, two hundred sixty-eight million, six hundred two thousand, four hundred seventy-two".