85762338648 has 64 divisors (see below), whose sum is σ = 245145864960. Its totient is φ = 24492464256.

The previous prime is 85762338647. The next prime is 85762338703. The reversal of 85762338648 is 84683326758.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85762338591 and 85762338600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85762338647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261715 + ... + 489917.

It is an arithmetic number, because the mean of its divisors is an integer number (3830404140).

Almost surely, 2^85762338648 is an apocalyptic number.

It is an amenable number.

85762338648 is an abundant number, since it is smaller than the sum of its proper divisors (159383526312).

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

85762338648 is a wasteful number, since it uses less digits than its factorization.

85762338648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230456 (or 230452 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 85762338648 in words is "eighty-five billion, seven hundred sixty-two million, three hundred thirty-eight thousand, six hundred forty-eight".