16938461553 has 64 divisors (see below), whose sum is σ = 25465466880. Its totient is φ = 9947976192.

The previous prime is 16938461539. The next prime is 16938461587. The reversal of 16938461553 is 35516483961.

It is not a de Polignac number, because 16938461553 - 2⁹ = 16938461041 is a prime.

It is a super-2 number, since 2×16938461553² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16938461496 and 16938461505.

It is not an unprimeable number, because it can be changed into a prime (16938461053) 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 63 ways as a sum of consecutive naturals, for example, 13140133 + ... + 13141421.

It is an arithmetic number, because the mean of its divisors is an integer number (397897920).

Almost surely, 2^16938461553 is an apocalyptic number.

16938461553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16938461553 is a deficient number, since it is larger than the sum of its proper divisors (8527005327).

16938461553 is a wasteful number, since it uses less digits than its factorization.

16938461553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526.

The product of its digits is 2332800, while the sum is 51.

The spelling of 16938461553 in words is "sixteen billion, nine hundred thirty-eight million, four hundred sixty-one thousand, five hundred fifty-three".