22676275679616 has 1344 divisors, whose sum is σ = 78659370946800. Its totient is φ = 6450531655680.

The previous prime is 22676275679593. The next prime is 22676275679683. The reversal of 22676275679616 is 61697657267622.

It is a happy number.

22676275679616 is a `hidden beast` number, since 2 + 26 + 7 + 6 + 27 + 567 + 9 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 178553351745 + ... + 178553351871.

Almost surely, 2^{22676275679616} is an apocalyptic number.

22676275679616 is a gapful number since it is divisible by the number (26) 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 22676275679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39329685473400).

22676275679616 is an abundant number, since it is smaller than the sum of its proper divisors (55983095267184).

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

22676275679616 is an equidigital number, since it uses as much as digits as its factorization.

22676275679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 225 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 22676275679616 in words is "twenty-two trillion, six hundred seventy-six billion, two hundred seventy-five million, six hundred seventy-nine thousand, six hundred sixteen".