222450495810048 has 1920 divisors, whose sum is σ = 781663474335744. Its totient is φ = 62412108595200.

The previous prime is 222450495810029. The next prime is 222450495810061. The reversal of 222450495810048 is 840018594054222.

It is a happy number.

222450495810048 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 5 + 0 + 495 + 8 + 100 + 48 = 666.

It is a super-3 number, since 3×222450495810048³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 222450495809976 and 222450495810003.

It is an unprimeable number.

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, 502145588515 + ... + 502145588957.

Almost surely, 2^{222450495810048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222450495810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390831737167872).

222450495810048 is an abundant number, since it is smaller than the sum of its proper divisors (559212978525696).

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

222450495810048 is a wasteful number, since it uses less digits than its factorization.

222450495810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 222450495810048 in words is "two hundred twenty-two trillion, four hundred fifty billion, four hundred ninety-five million, eight hundred ten thousand, forty-eight".