22878483264 has 672 divisors, whose sum is σ = 86228163840. Its totient is φ = 5792145408.

The previous prime is 22878483263. The next prime is 22878483317. The reversal of 22878483264 is 46238487822.

22878483264 is a `hidden beast` number, since 22 + 87 + 8 + 483 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22878483264² (a number of 22 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 22878483264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22878483263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132245482 + ... + 132245654.

It is an arithmetic number, because the mean of its divisors is an integer number (128315720).

Almost surely, 2^22878483264 is an apocalyptic number.

22878483264 is a gapful number since it is divisible by the number (24) 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 22878483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43114081920).

22878483264 is an abundant number, since it is smaller than the sum of its proper divisors (63349680576).

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

22878483264 is a wasteful number, since it uses less digits than its factorization.

22878483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 227 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 22878483264 in words is "twenty-two billion, eight hundred seventy-eight million, four hundred eighty-three thousand, two hundred sixty-four".