84342316257 has 64 divisors (see below), whose sum is σ = 140563641600. Its totient is φ = 49714560000.

The previous prime is 84342316243. The next prime is 84342316259. The reversal of 84342316257 is 75261324348.

84342316257 is a `hidden beast` number, since 8 + 43 + 42 + 316 + 257 = 666.

It is not a de Polignac number, because 84342316257 - 2⁶ = 84342316193 is a prime.

It is a super-2 number, since 2×84342316257² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84342316259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406882 + ... + 578132.

It is an arithmetic number, because the mean of its divisors is an integer number (2196306900).

Almost surely, 2^84342316257 is an apocalyptic number.

84342316257 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84342316257 is a deficient number, since it is larger than the sum of its proper divisors (56221325343).

84342316257 is a wasteful number, since it uses less digits than its factorization.

84342316257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171343 (or 171337 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 84342316257 in words is "eighty-four billion, three hundred forty-two million, three hundred sixteen thousand, two hundred fifty-seven".