22010012064 has 240 divisors, whose sum is σ = 68751349128. Its totient is φ = 6883688448.

The previous prime is 22010012033. The next prime is 22010012069. The reversal of 22010012064 is 46021001022.

It can be written as a sum of positive squares in 4 ways, for example, as 20190136464 + 1819875600 = 142092^2 + 42660^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22010012069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20136702 + ... + 20137794.

Almost surely, 2^22010012064 is an apocalyptic number.

22010012064 is a gapful number since it is divisible by the number (24) 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 22010012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34375674564).

22010012064 is an abundant number, since it is smaller than the sum of its proper divisors (46741337064).

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

22010012064 is a wasteful number, since it uses less digits than its factorization.

22010012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22010012064 its reverse (46021001022), we get a palindrome (68031013086).

The spelling of 22010012064 in words is "twenty-two billion, ten million, twelve thousand, sixty-four".