10448352738 has 96 divisors (see below), whose sum is σ = 25063833600. Its totient is φ = 3130874208.

The previous prime is 10448352713. The next prime is 10448352767. The reversal of 10448352738 is 83725384401.

10448352738 is a `hidden beast` number, since 1 + 0 + 44 + 83 + 527 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10448352693 and 10448352702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993753 + ... + 1004211.

It is an arithmetic number, because the mean of its divisors is an integer number (261081600).

Almost surely, 2^10448352738 is an apocalyptic number.

10448352738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10448352738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531916800).

10448352738 is an abundant number, since it is smaller than the sum of its proper divisors (14615480862).

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

10448352738 is a wasteful number, since it uses less digits than its factorization.

10448352738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10448352738 in words is "ten billion, four hundred forty-eight million, three hundred fifty-two thousand, seven hundred thirty-eight".