18177223104 has 336 divisors, whose sum is σ = 56130407424. Its totient is φ = 5611161600.

The previous prime is 18177223067. The next prime is 18177223109. The reversal of 18177223104 is 40132277181.

It is a super-2 number, since 2×18177223104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18177223109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67074489 + ... + 67074759.

It is an arithmetic number, because the mean of its divisors is an integer number (167054784).

Almost surely, 2^18177223104 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 18177223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065203712).

18177223104 is an abundant number, since it is smaller than the sum of its proper divisors (37953184320).

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

18177223104 is a wasteful number, since it uses less digits than its factorization.

18177223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 18177223104 in words is "eighteen billion, one hundred seventy-seven million, two hundred twenty-three thousand, one hundred four".