221763122074764 has 48 divisors (see below), whose sum is σ = 574943906876640. Its totient is φ = 73920721927680.

The previous prime is 221763122074763. The next prime is 221763122074799. The reversal of 221763122074764 is 467470221367122.

221763122074764 is a `hidden beast` number, since 2 + 2 + 176 + 312 + 20 + 74 + 76 + 4 = 666.

It is a super-2 number, since 2×221763122074764² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221763122074764.

It is not an unprimeable number, because it can be changed into a prime (221763122074763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21429684 + ... + 30045924.

It is an arithmetic number, because the mean of its divisors is an integer number (11977998059930).

Almost surely, 2^{221763122074764} is an apocalyptic number.

It is an amenable number.

221763122074764 is an abundant number, since it is smaller than the sum of its proper divisors (353180784801876).

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

221763122074764 is a wasteful number, since it uses less digits than its factorization.

221763122074764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854567 (or 8854559 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 221763122074764 in words is "two hundred twenty-one trillion, seven hundred sixty-three billion, one hundred twenty-two million, seventy-four thousand, seven hundred sixty-four".