222404638934016 has 4224 divisors, whose sum is σ = 912201032171520. Its totient is φ = 52371770572800.

The previous prime is 222404638933969. The next prime is 222404638934017. The reversal of 222404638934016 is 610439836404222.

222404638934016 is a `hidden beast` number, since 2 + 2 + 2 + 40 + 463 + 8 + 93 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (222404638934017) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1364445637551 + ... + 1364445637713.

Almost surely, 2^{222404638934016} 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 222404638934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456100516085760).

222404638934016 is an abundant number, since it is smaller than the sum of its proper divisors (689796393237504).

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

222404638934016 is a wasteful number, since it uses less digits than its factorization.

222404638934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 222404638934016 in words is "two hundred twenty-two trillion, four hundred four billion, six hundred thirty-eight million, nine hundred thirty-four thousand, sixteen".