22311841104 has 180 divisors, whose sum is σ = 75795479136. Its totient is φ = 6097601664.

The previous prime is 22311841061. The next prime is 22311841147. The reversal of 22311841104 is 40114811322.

22311841104 is a `hidden beast` number, since 2 + 231 + 18 + 411 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22311841061) and next prime (22311841147).

It is a super-3 number, since 3×22311841104³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 93547 + ... + 231029.

Almost surely, 2^22311841104 is an apocalyptic number.

22311841104 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 22311841104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897739568).

22311841104 is an abundant number, since it is smaller than the sum of its proper divisors (53483638032).

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

22311841104 is a wasteful number, since it uses less digits than its factorization.

22311841104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137534 (or 137518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 22311841104 in words is "twenty-two billion, three hundred eleven million, eight hundred forty-one thousand, one hundred four".