22449747650400 has 1728 divisors, whose sum is σ = 103664023077888. Its totient is φ = 4619436687360.

The previous prime is 22449747650359. The next prime is 22449747650411. The reversal of 22449747650400 is 405674794422.

22449747650400 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 97 + 47 + 6 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 532051704 + ... + 532093896.

It is an arithmetic number, because the mean of its divisors is an integer number (59990754096).

Almost surely, 2^{22449747650400} is an apocalyptic number.

22449747650400 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 22449747650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51832011538944).

22449747650400 is an abundant number, since it is smaller than the sum of its proper divisors (81214275427488).

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

22449747650400 is a wasteful number, since it uses less digits than its factorization.

22449747650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42275 (or 42250 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 22449747650400 in words is "twenty-two trillion, four hundred forty-nine billion, seven hundred forty-seven million, six hundred fifty thousand, four hundred".