33738126453 has 32 divisors (see below), whose sum is σ = 51604869120. Its totient is φ = 21770622720.

The previous prime is 33738126439. The next prime is 33738126479. The reversal of 33738126453 is 35462183733.

33738126453 is a `hidden beast` number, since 3 + 3 + 7 + 381 + 264 + 5 + 3 = 666.

It is not a de Polignac number, because 33738126453 - 2⁸ = 33738126197 is a prime.

It is a super-2 number, since 2×33738126453² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33738126399 and 33738126408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33738126353) 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, 20601 + ... + 260577.

It is an arithmetic number, because the mean of its divisors is an integer number (1612652160).

Almost surely, 2^33738126453 is an apocalyptic number.

It is an amenable number.

33738126453 is a deficient number, since it is larger than the sum of its proper divisors (17866742667).

33738126453 is a wasteful number, since it uses less digits than its factorization.

33738126453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240154 (or 240148 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 33738126453 in words is "thirty-three billion, seven hundred thirty-eight million, one hundred twenty-six thousand, four hundred fifty-three".