32284273791616 has 256 divisors, whose sum is σ = 81757975968000. Its totient is φ = 12436918517760.

The previous prime is 32284273791611. The next prime is 32284273791617. The reversal of 32284273791616 is 61619737248223.

It is a super-3 number, since 3×32284273791616³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (32284273791611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105987180 + ... + 106291348.

It is an arithmetic number, because the mean of its divisors is an integer number (319367093625).

Almost surely, 2^{32284273791616} 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 32284273791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40878987984000).

32284273791616 is an abundant number, since it is smaller than the sum of its proper divisors (49473702176384).

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

32284273791616 is an equidigital number, since it uses as much as digits as its factorization.

32284273791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304312 (or 304278 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 61.

The spelling of 32284273791616 in words is "thirty-two trillion, two hundred eighty-four billion, two hundred seventy-three million, seven hundred ninety-one thousand, six hundred sixteen".