18958313088 has 640 divisors, whose sum is σ = 69875467200. Its totient is φ = 5016453120.

The previous prime is 18958313083. The next prime is 18958313093. The reversal of 18958313088 is 88031385981.

It is an interprime number because it is at equal distance from previous prime (18958313083) and next prime (18958313093).

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

It is not an unprimeable number, because it can be changed into a prime (18958313083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28169520 + ... + 28170192.

Almost surely, 2^18958313088 is an apocalyptic number.

18958313088 is a gapful number since it is divisible by the number (18) 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 18958313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34937733600).

18958313088 is an abundant number, since it is smaller than the sum of its proper divisors (50917154112).

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

18958313088 is a wasteful number, since it uses less digits than its factorization.

18958313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 18958313088 in words is "eighteen billion, nine hundred fifty-eight million, three hundred thirteen thousand, eighty-eight".