22220015114034 has 256 divisors, whose sum is σ = 53660038348800. Its totient is φ = 6792994720512.

The previous prime is 22220015114023. The next prime is 22220015114057. The reversal of 22220015114034 is 43041151002222.

22220015114034 is a `hidden beast` number, since 2 + 2 + 2 + 200 + 1 + 51 + 1 + 403 + 4 = 666.

It is a super-4 number, since 4×22220015114034⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22220015113989 and 22220015114007.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5428782492 + ... + 5428786584.

It is an arithmetic number, because the mean of its divisors is an integer number (209609524800).

Almost surely, 2^{22220015114034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220015114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830019174400).

22220015114034 is an abundant number, since it is smaller than the sum of its proper divisors (31440023234766).

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

22220015114034 is a wasteful number, since it uses less digits than its factorization.

22220015114034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22220015114034 its reverse (43041151002222), we get a palindrome (65261166116256).

The spelling of 22220015114034 in words is "twenty-two trillion, two hundred twenty billion, fifteen million, one hundred fourteen thousand, thirty-four".