22828496486400 has 2304 divisors, whose sum is σ = 93648202202880. Its totient is φ = 5267206963200.

The previous prime is 22828496486321. The next prime is 22828496486407. The reversal of 22828496486400 is 468469482822.

22828496486400 is a `hidden beast` number, since 2 + 2 + 8 + 28 + 4 + 96 + 486 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×22828496486400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22828496486407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202022092744 + ... + 202022092856.

It is an arithmetic number, because the mean of its divisors is an integer number (40645921095).

Almost surely, 2^{22828496486400} is an apocalyptic number.

22828496486400 is a gapful number since it is divisible by the number (20) 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 22828496486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46824101101440).

22828496486400 is an abundant number, since it is smaller than the sum of its proper divisors (70819705716480).

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

22828496486400 is a wasteful number, since it uses less digits than its factorization.

22828496486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 22828496486400 in words is "twenty-two trillion, eight hundred twenty-eight billion, four hundred ninety-six million, four hundred eighty-six thousand, four hundred".