32313048768 has 840 divisors, whose sum is σ = 129584378880. Its totient is φ = 7731210240.

The previous prime is 32313048767. The next prime is 32313048797. The reversal of 32313048768 is 86784031323.

32313048768 is a `hidden beast` number, since 32 + 3 + 130 + 487 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32313048767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67459153 + ... + 67459631.

Almost surely, 2^32313048768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64792189440).

32313048768 is an abundant number, since it is smaller than the sum of its proper divisors (97271330112).

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

32313048768 is a wasteful number, since it uses less digits than its factorization.

32313048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 32313048768 in words is "thirty-two billion, three hundred thirteen million, forty-eight thousand, seven hundred sixty-eight".