22776113664000 has 2496 divisors, whose sum is σ = 91624474626048. Its totient is φ = 5416943616000.

The previous prime is 22776113663977. The next prime is 22776113664001. The reversal of 22776113664000 is 46631167722.

22776113664000 is a `hidden beast` number, since 2 + 2 + 7 + 76 + 113 + 66 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22776113664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201558527944 + ... + 201558528056.

It is an arithmetic number, because the mean of its divisors is an integer number (36708523488).

Almost surely, 2^{22776113664000} is an apocalyptic number.

22776113664000 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 22776113664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812237313024).

22776113664000 is an abundant number, since it is smaller than the sum of its proper divisors (68848360962048).

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

22776113664000 is a wasteful number, since it uses less digits than its factorization.

22776113664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 22776113664000 in words is "twenty-two trillion, seven hundred seventy-six billion, one hundred thirteen million, six hundred sixty-four thousand".