1005734937348 has 120 divisors (see below), whose sum is σ = 2634944042808. Its totient is φ = 334512267264.

The previous prime is 1005734937313. The next prime is 1005734937353. The reversal of 1005734937348 is 8437394375001.

1005734937348 is a `hidden beast` number, since 1 + 0 + 0 + 573 + 4 + 9 + 37 + 34 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 471903050304 + 533831887044 = 686952^2 + 730638^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1005734937294 and 1005734937303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 442469140 + ... + 442471412.

Almost surely, 2^{1005734937348} is an apocalyptic number.

1005734937348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005734937348 is an abundant number, since it is smaller than the sum of its proper divisors (1629209105460).

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

1005734937348 is a wasteful number, since it uses less digits than its factorization.

1005734937348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

It can be divided in two parts, 100573493 and 7348, that added together give a square (100580841 = 10029²).

The spelling of 1005734937348 in words is "one trillion, five billion, seven hundred thirty-four million, nine hundred thirty-seven thousand, three hundred forty-eight".