32172258910464 has 288 divisors, whose sum is σ = 95341870471680. Its totient is φ = 10701250560000.

The previous prime is 32172258910291. The next prime is 32172258910469. The reversal of 32172258910464 is 46401985227123.

It is a happy number.

32172258910464 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 2 + 2 + 589 + 10 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32172258910464.

It is not an unprimeable number, because it can be changed into a prime (32172258910469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041052464 + ... + 8041056464.

It is an arithmetic number, because the mean of its divisors is an integer number (331048161360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅32172258910464 = 64344517820928, but 3⋅32172258910464 = 96516776731392 is not.

Almost surely, 2^{32172258910464} 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 32172258910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47670935235840).

32172258910464 is an abundant number, since it is smaller than the sum of its proper divisors (63169611561216).

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

32172258910464 is a wasteful number, since it uses less digits than its factorization.

32172258910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32172258910464 in words is "thirty-two trillion, one hundred seventy-two billion, two hundred fifty-eight million, nine hundred ten thousand, four hundred sixty-four".