10118348800 has 180 divisors, whose sum is σ = 28685542480. Its totient is φ = 3468165120.

The previous prime is 10118348753. The next prime is 10118348803. The reversal of 10118348800 is 884381101.

It is a super-2 number, since 2×10118348800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118348803) 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 11 ways as a sum of consecutive naturals, for example, 2865436 + ... + 2868964.

Almost surely, 2^10118348800 is an apocalyptic number.

10118348800 is a gapful number since it is divisible by the number (10) 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 10118348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342771240).

10118348800 is an abundant number, since it is smaller than the sum of its proper divisors (18567193680).

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

10118348800 is an frugal number, since it uses more digits than its factorization.

10118348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 10118348800 in words is "ten billion, one hundred eighteen million, three hundred forty-eight thousand, eight hundred".