6248112000 has 1024 divisors, whose sum is σ = 25662873600. Its totient is φ = 1327104000.

The previous prime is 6248111959. The next prime is 6248112037. The reversal of 6248112000 is 2118426.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201551985 + ... + 201552015.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^6248112000 is an apocalyptic number.

6248112000 is a gapful number since it is divisible by the number (60) 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 6248112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6248112000 is an abundant number, since it is smaller than the sum of its proper divisors (19414761600).

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

6248112000 is a wasteful number, since it uses less digits than its factorization.

6248112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6248112000 is about 79044.9998418622. Note that the first 3 decimals coincide. The cubic root of 6248112000 is about 1841.8302519347.

The spelling of 6248112000 in words is "six billion, two hundred forty-eight million, one hundred twelve thousand".