2231863219872 has 672 divisors, whose sum is σ = 7758635492160. Its totient is φ = 622771752960.

The previous prime is 2231863219841. The next prime is 2231863219897. The reversal of 2231863219872 is 2789123681322.

2231863219872 is a `hidden beast` number, since 2 + 231 + 8 + 6 + 321 + 9 + 87 + 2 = 666.

It is a super-3 number, since 3×2231863219872³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2698745923 + ... + 2698746749.

It is an arithmetic number, because the mean of its divisors is an integer number (11545588530).

Almost surely, 2^{2231863219872} is an apocalyptic number.

2231863219872 is a gapful number since it is divisible by the number (22) 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 2231863219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879317746080).

2231863219872 is an abundant number, since it is smaller than the sum of its proper divisors (5526772272288).

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

2231863219872 is a wasteful number, since it uses less digits than its factorization.

2231863219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1665 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 2231863219872 in words is "two trillion, two hundred thirty-one billion, eight hundred sixty-three million, two hundred nineteen thousand, eight hundred seventy-two".