22348018661760 has 640 divisors, whose sum is σ = 87749984931840. Its totient is φ = 5375025008640.

The previous prime is 22348018661743. The next prime is 22348018661827. The reversal of 22348018661760 is 6716681084322.

It is a happy number.

22348018661760 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 8 + 0 + 18 + 6 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 22348018661697 and 22348018661706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72266187 + ... + 72574773.

It is an arithmetic number, because the mean of its divisors is an integer number (137109351456).

Almost surely, 2^{22348018661760} is an apocalyptic number.

22348018661760 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 22348018661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43874992465920).

22348018661760 is an abundant number, since it is smaller than the sum of its proper divisors (65401966270080).

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

22348018661760 is a wasteful number, since it uses less digits than its factorization.

22348018661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308756 (or 308735 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22348018661760 in words is "twenty-two trillion, three hundred forty-eight billion, eighteen million, six hundred sixty-one thousand, seven hundred sixty".