32219745814872 has 288 divisors, whose sum is σ = 109700777571840. Its totient is φ = 8368744063680.

The previous prime is 32219745814871. The next prime is 32219745814903. The reversal of 32219745814872 is 27841854791223.

32219745814872 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 9 + 7 + 4 + 581 + 48 + 7 + 2 = 666.

It is a super-2 number, since 2×32219745814872² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32219745814871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80971233 + ... + 81368175.

It is an arithmetic number, because the mean of its divisors is an integer number (380905477680).

Almost surely, 2^{32219745814872} 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 32219745814872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54850388785920).

32219745814872 is an abundant number, since it is smaller than the sum of its proper divisors (77481031756968).

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

32219745814872 is an equidigital number, since it uses as much as digits as its factorization.

32219745814872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397017 (or 396966 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 32219745814872 in words is "thirty-two trillion, two hundred nineteen billion, seven hundred forty-five million, eight hundred fourteen thousand, eight hundred seventy-two".