8435481957 has 144 divisors (see below), whose sum is σ = 15549760512. Its totient is φ = 4375848960.

The previous prime is 8435481941. The next prime is 8435481973. The reversal of 8435481957 is 7591845348.

8435481957 is a `hidden beast` number, since 8 + 4 + 3 + 548 + 1 + 95 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (8435481941) and next prime (8435481973).

It is not a de Polignac number, because 8435481957 - 2⁴ = 8435481941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8435481997) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44164732 + ... + 44164922.

It is an arithmetic number, because the mean of its divisors is an integer number (107984448).

Almost surely, 2^8435481957 is an apocalyptic number.

It is an amenable number.

8435481957 is a deficient number, since it is larger than the sum of its proper divisors (7114278555).

8435481957 is a wasteful number, since it uses less digits than its factorization.

8435481957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 8435481957 is about 91844.8798627338. The cubic root of 8435481957 is about 2035.6508939796.

The spelling of 8435481957 in words is "eight billion, four hundred thirty-five million, four hundred eighty-one thousand, nine hundred fifty-seven".