3152808499968 has 504 divisors, whose sum is σ = 9960118318080. Its totient is φ = 992832215040.

The previous prime is 3152808499963. The next prime is 3152808499999. The reversal of 3152808499968 is 8699948082513.

3152808499968 is a `hidden beast` number, since 3 + 1 + 52 + 80 + 8 + 499 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3152808499896 and 3152808499905.

It is not an unprimeable number, because it can be changed into a prime (3152808499963) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1528262905 + ... + 1528264967.

It is an arithmetic number, because the mean of its divisors is an integer number (19762139520).

Almost surely, 2^{3152808499968} is an apocalyptic number.

3152808499968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152808499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980059159040).

3152808499968 is an abundant number, since it is smaller than the sum of its proper divisors (6807309818112).

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

3152808499968 is an equidigital number, since it uses as much as digits as its factorization.

3152808499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 3152808499968 in words is "three trillion, one hundred fifty-two billion, eight hundred eight million, four hundred ninety-nine thousand, nine hundred sixty-eight".