45218683188 has 192 divisors, whose sum is σ = 137175897600. Its totient is φ = 12772919808.

The previous prime is 45218683183. The next prime is 45218683193. The reversal of 45218683188 is 88138681254.

45218683188 is a `hidden beast` number, since 4 + 521 + 8 + 6 + 8 + 31 + 88 = 666.

45218683188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45218683183) and next prime (45218683193).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45218683183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445856 + ... + 5454152.

It is an arithmetic number, because the mean of its divisors is an integer number (714457800).

Almost surely, 2^45218683188 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 45218683188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68587948800).

45218683188 is an abundant number, since it is smaller than the sum of its proper divisors (91957214412).

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

45218683188 is an equidigital number, since it uses as much as digits as its factorization.

45218683188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8398 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 45218683188 in words is "forty-five billion, two hundred eighteen million, six hundred eighty-three thousand, one hundred eighty-eight".