4248156481800 has 384 divisors, whose sum is σ = 16509593318400. Its totient is φ = 877855104000.

The previous prime is 4248156481783. The next prime is 4248156481817. The reversal of 4248156481800 is 81846518424.

It is an interprime number because it is at equal distance from previous prime (4248156481783) and next prime (4248156481817).

It is a super-4 number, since 4×4248156481800⁴ (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8108191 + ... + 8616209.

It is an arithmetic number, because the mean of its divisors is an integer number (42993732600).

Almost surely, 2^{4248156481800} is an apocalyptic number.

4248156481800 is a gapful number since it is divisible by the number (40) 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 4248156481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254796659200).

4248156481800 is an abundant number, since it is smaller than the sum of its proper divisors (12261436836600).

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

4248156481800 is a wasteful number, since it uses less digits than its factorization.

4248156481800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508237 (or 508228 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 4248156481800 in words is "four trillion, two hundred forty-eight billion, one hundred fifty-six million, four hundred eighty-one thousand, eight hundred".