22263383336832 has 1024 divisors, whose sum is σ = 77970014208000. Its totient is φ = 6181733376000.

The previous prime is 22263383336791. The next prime is 22263383336879. The reversal of 22263383336832 is 23863338336222.

22263383336832 is a `hidden beast` number, since 2 + 226 + 3 + 3 + 8 + 3 + 336 + 83 + 2 = 666.

22263383336832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2718025857 + ... + 2718034047.

It is an arithmetic number, because the mean of its divisors is an integer number (76142592000).

Almost surely, 2^{22263383336832} is an apocalyptic number.

22263383336832 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 22263383336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38985007104000).

22263383336832 is an abundant number, since it is smaller than the sum of its proper divisors (55706630871168).

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

22263383336832 is a wasteful number, since it uses less digits than its factorization.

22263383336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8350 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 22263383336832 in words is "twenty-two trillion, two hundred sixty-three billion, three hundred eighty-three million, three hundred thirty-six thousand, eight hundred thirty-two".