53948506167 has 8 divisors (see below), whose sum is σ = 79923712880. Its totient is φ = 35965670760.

The previous prime is 53948506151. The next prime is 53948506177. The reversal of 53948506167 is 76160584935.

53948506167 is a `hidden beast` number, since 5 + 39 + 48 + 506 + 1 + 67 = 666.

53948506167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53948506167 - 2⁴ = 53948506151 is a prime.

It is a super-3 number, since 3×53948506167³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53948506177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999046384 + ... + 999046437.

It is an arithmetic number, because the mean of its divisors is an integer number (9990464110).

Almost surely, 2^53948506167 is an apocalyptic number.

53948506167 is a deficient number, since it is larger than the sum of its proper divisors (25975206713).

53948506167 is a wasteful number, since it uses less digits than its factorization.

53948506167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998092830 (or 1998092824 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53948506167 in words is "fifty-three billion, nine hundred forty-eight million, five hundred six thousand, one hundred sixty-seven".