22311005145104 has 80 divisors (see below), whose sum is σ = 47208091999152. Its totient is φ = 10153375432704.

The previous prime is 22311005145097. The next prime is 22311005145133. The reversal of 22311005145104 is 40154150011322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15863874770704 + 6447130374400 = 3982948^2 + 2539120^2 .

It is a super-3 number, since 3×22311005145104³ (a number of 41 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2077094 + ... + 6995450.

Almost surely, 2^{22311005145104} 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 22311005145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23604045999576).

22311005145104 is an abundant number, since it is smaller than the sum of its proper divisors (24897086854048).

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

22311005145104 is a wasteful number, since it uses less digits than its factorization.

22311005145104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918684 (or 4918678 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 22311005145104 its reverse (40154150011322), we get a palindrome (62465155156426).

The spelling of 22311005145104 in words is "twenty-two trillion, three hundred eleven billion, five million, one hundred forty-five thousand, one hundred four".