16938153261 has 12 divisors (see below), whose sum is σ = 24535535388. Its totient is φ = 11260111104.

The previous prime is 16938153247. The next prime is 16938153277. The reversal of 16938153261 is 16235183961.

16938153261 is a `hidden beast` number, since 1 + 6 + 9 + 381 + 5 + 3 + 261 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11882090025 + 5056063236 = 109005^2 + 71106^2 .

It is not a de Polignac number, because 16938153261 - 2²⁶ = 16871044397 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16938153461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662570 + ... + 2668923.

It is an arithmetic number, because the mean of its divisors is an integer number (2044627949).

Almost surely, 2^16938153261 is an apocalyptic number.

It is an amenable number.

16938153261 is a deficient number, since it is larger than the sum of its proper divisors (7597382127).

16938153261 is a wasteful number, since it uses less digits than its factorization.

16938153261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331852 (or 5331849 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 16938153261 in words is "sixteen billion, nine hundred thirty-eight million, one hundred fifty-three thousand, two hundred sixty-one".