22746774226176 has 1152 divisors, whose sum is σ = 91665335193600. Its totient is φ = 5372262973440.

The previous prime is 22746774226171. The next prime is 22746774226199. The reversal of 22746774226176 is 67162247764722.

22746774226176 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 6 + 7 + 7 + 4 + 2 + 2 + 617 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22746774226171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463542570 + ... + 463591638.

Almost surely, 2^{22746774226176} is an apocalyptic number.

22746774226176 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 22746774226176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45832667596800).

22746774226176 is an abundant number, since it is smaller than the sum of its proper divisors (68918560967424).

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

22746774226176 is a wasteful number, since it uses less digits than its factorization.

22746774226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49192 (or 49172 counting only the distinct ones).

The product of its digits is 132765696, while the sum is 63.

The spelling of 22746774226176 in words is "twenty-two trillion, seven hundred forty-six billion, seven hundred seventy-four million, two hundred twenty-six thousand, one hundred seventy-six".