22316961300480 has 4352 divisors, whose sum is σ = 109585254481920. Its totient is φ = 4167460454400.

The previous prime is 22316961300367. The next prime is 22316961300511. The reversal of 22316961300480 is 8400316961322.

22316961300480 is a `hidden beast` number, since 2 + 2 + 3 + 169 + 6 + 1 + 3 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4352).

It is a super-3 number, since 3×22316961300480³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 474828963817 + ... + 474828963863.

Almost surely, 2^{22316961300480} is an apocalyptic number.

22316961300480 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 22316961300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54792627240960).

22316961300480 is an abundant number, since it is smaller than the sum of its proper divisors (87268293181440).

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

22316961300480 is a wasteful number, since it uses less digits than its factorization.

22316961300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22316961300480 in words is "twenty-two trillion, three hundred sixteen billion, nine hundred sixty-one million, three hundred thousand, four hundred eighty".