222045262773840 has 1440 divisors, whose sum is σ = 870764503504896. Its totient is φ = 50277310709760.

The previous prime is 222045262773787. The next prime is 222045262773877. The reversal of 222045262773840 is 48377262540222.

222045262773840 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 4 + 5 + 2 + 627 + 7 + 3 + 8 + 4 + 0 = 666.

222045262773840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 208885477149 + ... + 208885478211.

Almost surely, 2^{222045262773840} is an apocalyptic number.

222045262773840 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 222045262773840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435382251752448).

222045262773840 is an abundant number, since it is smaller than the sum of its proper divisors (648719240731056).

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

222045262773840 is a wasteful number, since it uses less digits than its factorization.

222045262773840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 222045262773840 in words is "two hundred twenty-two trillion, forty-five billion, two hundred sixty-two million, seven hundred seventy-three thousand, eight hundred forty".