1968542005248 has 1728 divisors, whose sum is σ = 7731745781760. Its totient is φ = 469263974400.

The previous prime is 1968542005201. The next prime is 1968542005301. The reversal of 1968542005248 is 8425002458691.

1968542005248 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 542 + 0 + 0 + 52 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1968542005194 and 1968542005203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15027038143 + ... + 15027038273.

It is an arithmetic number, because the mean of its divisors is an integer number (4474389920).

Almost surely, 2^{1968542005248} is an apocalyptic number.

1968542005248 is a gapful number since it is divisible by the number (18) 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 1968542005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865872890880).

1968542005248 is an abundant number, since it is smaller than the sum of its proper divisors (5763203776512).

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

1968542005248 is a wasteful number, since it uses less digits than its factorization.

1968542005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1968542005248 in words is "one trillion, nine hundred sixty-eight billion, five hundred forty-two million, five thousand, two hundred forty-eight".