744135427377 has 24 divisors (see below), whose sum is σ = 1079464113000. Its totient is φ = 493970876928.

The previous prime is 744135427363. The next prime is 744135427403. The reversal of 744135427377 is 773724531447.

It can be written as a sum of positive squares in 4 ways, for example, as 31623864561 + 712511562816 = 177831^2 + 844104^2 .

It is not a de Polignac number, because 744135427377 - 2⁴ = 744135427361 is a prime.

It is a super-2 number, since 2×744135427377² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (744135427307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1795999 + ... + 2171147.

It is an arithmetic number, because the mean of its divisors is an integer number (44977671375).

Almost surely, 2^744135427377 is an apocalyptic number.

It is an amenable number.

744135427377 is a deficient number, since it is larger than the sum of its proper divisors (335328685623).

744135427377 is a wasteful number, since it uses less digits than its factorization.

744135427377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376097 (or 376094 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 54.

The spelling of 744135427377 in words is "seven hundred forty-four billion, one hundred thirty-five million, four hundred twenty-seven thousand, three hundred seventy-seven".