33948546157 has 2 divisors, whose sum is σ = 33948546158. Its totient is φ = 33948546156.

The previous prime is 33948546097. The next prime is 33948546187. The reversal of 33948546157 is 75164584933.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32131996516 + 1816549641 = 179254^2 + 42621^2 .

It is a cyclic number.

It is not a de Polignac number, because 33948546157 - 2⁷ = 33948546029 is a prime.

It is a super-3 number, since 3×33948546157³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33948546098 and 33948546107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33948546187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16974273078 + 16974273079.

It is an arithmetic number, because the mean of its divisors is an integer number (16974273079).

Almost surely, 2^33948546157 is an apocalyptic number.

It is an amenable number.

33948546157 is a deficient number, since it is larger than the sum of its proper divisors (1).

33948546157 is an equidigital number, since it uses as much as digits as its factorization.

33948546157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10886400, while the sum is 55.

The spelling of 33948546157 in words is "thirty-three billion, nine hundred forty-eight million, five hundred forty-six thousand, one hundred fifty-seven".