22361961600 has 1440 divisors, whose sum is σ = 97701246720. Its totient is φ = 5018112000.

The previous prime is 22361961581. The next prime is 22361961667. The reversal of 22361961600 is 616916322.

It is a happy number.

22361961600 is a `hidden beast` number, since 2 + 2 + 36 + 1 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 721353585 + ... + 721353615.

It is an arithmetic number, because the mean of its divisors is an integer number (67848088).

Almost surely, 2^22361961600 is an apocalyptic number.

22361961600 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 22361961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48850623360).

22361961600 is an abundant number, since it is smaller than the sum of its proper divisors (75339285120).

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

22361961600 is a wasteful number, since it uses less digits than its factorization.

22361961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 22361961600 in words is "twenty-two billion, three hundred sixty-one million, nine hundred sixty-one thousand, six hundred".