222293288140416 has 384 divisors, whose sum is σ = 661828381194240. Its totient is φ = 71542465505280.

The previous prime is 222293288140381. The next prime is 222293288140477. The reversal of 222293288140416 is 614041882392222.

222293288140416 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 9 + 3 + 2 + 88 + 140 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31562297791 + ... + 31562304833.

It is an arithmetic number, because the mean of its divisors is an integer number (1723511409360).

Almost surely, 2^{222293288140416} 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 222293288140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330914190597120).

222293288140416 is an abundant number, since it is smaller than the sum of its proper divisors (439535093053824).

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

222293288140416 is a wasteful number, since it uses less digits than its factorization.

222293288140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 222293288140416 in words is "two hundred twenty-two trillion, two hundred ninety-three billion, two hundred eighty-eight million, one hundred forty thousand, four hundred sixteen".