1248068640528 has 640 divisors, whose sum is σ = 4071146572800. Its totient is φ = 363980390400.

The previous prime is 1248068640499. The next prime is 1248068640541. The reversal of 1248068640528 is 8250468608421.

1248068640528 is a `hidden beast` number, since 12 + 4 + 8 + 0 + 68 + 6 + 40 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 917022568 + ... + 917023928.

It is an arithmetic number, because the mean of its divisors is an integer number (6361166520).

Almost surely, 2^{1248068640528} is an apocalyptic number.

1248068640528 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 1248068640528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035573286400).

1248068640528 is an abundant number, since it is smaller than the sum of its proper divisors (2823077932272).

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

1248068640528 is a wasteful number, since it uses less digits than its factorization.

1248068640528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

It can be divided in two parts, 1248068 and 640528, that added together give a triangular number (1888596 = T₁₉₄₃).

The spelling of 1248068640528 in words is "one trillion, two hundred forty-eight billion, sixty-eight million, six hundred forty thousand, five hundred twenty-eight".