84375844857348 has 96 divisors (see below), whose sum is σ = 214984875047040. Its totient is φ = 25543449891840.

The previous prime is 84375844857259. The next prime is 84375844857349.

84375844857348 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (84375844857349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593218336 + ... + 593360552.

It is an arithmetic number, because the mean of its divisors is an integer number (2239425781740).

Almost surely, 2^{84375844857348} is an apocalyptic number.

It is an amenable number.

84375844857348 is an abundant number, since it is smaller than the sum of its proper divisors (130609030189692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84375844857348 is a wasteful number, since it uses less digits than its factorization.

84375844857348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146597 (or 146595 counting only the distinct ones).

The product of its digits is 11560550400, while the sum is 78.

The spelling of 84375844857348 in words is "eighty-four trillion, three hundred seventy-five billion, eight hundred forty-four million, eight hundred fifty-seven thousand, three hundred forty-eight".