22245482649600 has 1152 divisors, whose sum is σ = 95910136358400. Its totient is φ = 4947178291200.

The previous prime is 22245482649547. The next prime is 22245482649631. The reversal of 22245482649600 is 694628454222.

22245482649600 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 5 + 4 + 8 + 26 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22245482649600² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358010535 + ... + 358072665.

It is an arithmetic number, because the mean of its divisors is an integer number (83255326700).

Almost surely, 2^{22245482649600} is an apocalyptic number.

22245482649600 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 22245482649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47955068179200).

22245482649600 is an abundant number, since it is smaller than the sum of its proper divisors (73664653708800).

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

22245482649600 is a wasteful number, since it uses less digits than its factorization.

22245482649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62216 (or 62185 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 22245482649600 in words is "twenty-two trillion, two hundred forty-five billion, four hundred eighty-two million, six hundred forty-nine thousand, six hundred".