4492338326112 has 768 divisors, whose sum is σ = 15317259632640. Its totient is φ = 1121137459200.

The previous prime is 4492338326107. The next prime is 4492338326131. The reversal of 4492338326112 is 2116238332944.

It is a super-2 number, since 2×4492338326112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3188316064 + ... + 3188317472.

It is an arithmetic number, because the mean of its divisors is an integer number (19944348480).

Almost surely, 2^{4492338326112} is an apocalyptic number.

4492338326112 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 4492338326112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658629816320).

4492338326112 is an abundant number, since it is smaller than the sum of its proper divisors (10824921306528).

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

4492338326112 is a wasteful number, since it uses less digits than its factorization.

4492338326112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1719 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 4492338326112 in words is "four trillion, four hundred ninety-two billion, three hundred thirty-eight million, three hundred twenty-six thousand, one hundred twelve".