738049282152 has 1536 divisors, whose sum is σ = 2716409364480. Its totient is φ = 164521082880.

The previous prime is 738049282127. The next prime is 738049282171. The reversal of 738049282152 is 251282940837.

It is a super-2 number, since 2×738049282152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 738049282095 and 738049282104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10395060277 + ... + 10395060347.

It is an arithmetic number, because the mean of its divisors is an integer number (1768495680).

Almost surely, 2^738049282152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738049282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358204682240).

738049282152 is an abundant number, since it is smaller than the sum of its proper divisors (1978360082328).

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

738049282152 is a wasteful number, since it uses less digits than its factorization.

738049282152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

It can be divided in two parts, 738049 and 282152, that added together give a palindrome (1020201).

The spelling of 738049282152 in words is "seven hundred thirty-eight billion, forty-nine million, two hundred eighty-two thousand, one hundred fifty-two".