15938761401 has 48 divisors (see below), whose sum is σ = 24785879040. Its totient is φ = 9838130400.

The previous prime is 15938761343. The next prime is 15938761459. The reversal of 15938761401 is 10416783951.

15938761401 is a `hidden beast` number, since 159 + 38 + 7 + 61 + 401 = 666.

15938761401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15938761343) and next prime (15938761459).

It is not a de Polignac number, because 15938761401 - 2¹⁰ = 15938760377 is a prime.

It is a super-3 number, since 3×15938761401³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (15938761301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9249726 + ... + 9251448.

It is an arithmetic number, because the mean of its divisors is an integer number (516372480).

Almost surely, 2^15938761401 is an apocalyptic number.

It is an amenable number.

15938761401 is a deficient number, since it is larger than the sum of its proper divisors (8847117639).

15938761401 is a wasteful number, since it uses less digits than its factorization.

15938761401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 15938761401 in words is "fifteen billion, nine hundred thirty-eight million, seven hundred sixty-one thousand, four hundred one".