738826322112 has 224 divisors, whose sum is σ = 2307642628800. Its totient is φ = 231356030976.

The previous prime is 738826322051. The next prime is 738826322153. The reversal of 738826322112 is 211223628837.

738826322112 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 2 + 632 + 2 + 1 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654908 + ... + 2053380.

Almost surely, 2^738826322112 is an apocalyptic number.

738826322112 is a gapful number since it is divisible by the number (72) 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 738826322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153821314400).

738826322112 is an abundant number, since it is smaller than the sum of its proper divisors (1568816306688).

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

738826322112 is a wasteful number, since it uses less digits than its factorization.

738826322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398560 (or 398544 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 738826322112 in words is "seven hundred thirty-eight billion, eight hundred twenty-six million, three hundred twenty-two thousand, one hundred twelve".