126918806553 has 128 divisors (see below), whose sum is σ = 250812518400. Its totient is φ = 61436620800.

The previous prime is 126918806551. The next prime is 126918806561. The reversal of 126918806553 is 355608819621.

126918806553 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 1 + 8 + 80 + 6 + 553 = 666.

It is not a de Polignac number, because 126918806553 - 2¹ = 126918806551 is a prime.

It is a super-3 number, since 3×126918806553³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126918806553.

It is not an unprimeable number, because it can be changed into a prime (126918806551) 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 127 ways as a sum of consecutive naturals, for example, 2383225 + ... + 2435897.

It is an arithmetic number, because the mean of its divisors is an integer number (1959472800).

Almost surely, 2^126918806553 is an apocalyptic number.

It is an amenable number.

126918806553 is a deficient number, since it is larger than the sum of its proper divisors (123893711847).

126918806553 is a wasteful number, since it uses less digits than its factorization.

126918806553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52780 (or 52774 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 126918806553 in words is "one hundred twenty-six billion, nine hundred eighteen million, eight hundred six thousand, five hundred fifty-three".