32228699053824 has 864 divisors, whose sum is σ = 118893447289344. Its totient is φ = 8479059886080.

The previous prime is 32228699053753. The next prime is 32228699053843. The reversal of 32228699053824 is 42835099682223.

32228699053824 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 8 + 6 + 9 + 90 + 538 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383243927 + ... + 2383257449.

Almost surely, 2^{32228699053824} 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 32228699053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59446723644672).

32228699053824 is an abundant number, since it is smaller than the sum of its proper divisors (86664748235520).

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

32228699053824 is a wasteful number, since it uses less digits than its factorization.

32228699053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 32228699053824 in words is "thirty-two trillion, two hundred twenty-eight billion, six hundred ninety-nine million, fifty-three thousand, eight hundred twenty-four".