746444127533 has 32 divisors (see below), whose sum is σ = 841857122400. Its totient is φ = 661214181888.

The previous prime is 746444127511. The next prime is 746444127557. The reversal of 746444127533 is 335721444647.

It can be written as a sum of positive squares in 16 ways, for example, as 610018795369 + 136425332164 = 781037^2 + 369358^2 .

It is not a de Polignac number, because 746444127533 - 2¹⁰ = 746444126509 is a prime.

It is a super-3 number, since 3×746444127533³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746444127593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5871203 + ... + 5996991.

It is an arithmetic number, because the mean of its divisors is an integer number (26308035075).

Almost surely, 2^746444127533 is an apocalyptic number.

746444127533 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

746444127533 is a deficient number, since it is larger than the sum of its proper divisors (95412994867).

746444127533 is a wasteful number, since it uses less digits than its factorization.

746444127533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125938 (or 125912 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 50.

The spelling of 746444127533 in words is "seven hundred forty-six billion, four hundred forty-four million, one hundred twenty-seven thousand, five hundred thirty-three".