4837826112 has 224 divisors, whose sum is σ = 15140708352. Its totient is φ = 1334624256.

The previous prime is 4837826107. The next prime is 4837826129. The reversal of 4837826112 is 2116287384.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4837826112² = 46809122979898073088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5605393 + ... + 5606255.

It is an arithmetic number, because the mean of its divisors is an integer number (67592448).

Almost surely, 2^4837826112 is an apocalyptic number.

4837826112 is a gapful number since it is divisible by the number (42) 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 4837826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570354176).

4837826112 is an abundant number, since it is smaller than the sum of its proper divisors (10302882240).

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

4837826112 is a wasteful number, since it uses less digits than its factorization.

4837826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 4837826112 is about 69554.4830474643. The cubic root of 4837826112 is about 1691.2848220169.

The spelling of 4837826112 in words is "four billion, eight hundred thirty-seven million, eight hundred twenty-six thousand, one hundred twelve".