734248006848 has 392 divisors, whose sum is σ = 2230748294400. Its totient is φ = 239607922176.

The previous prime is 734248006777. The next prime is 734248006853. The reversal of 734248006848 is 848600842437.

It is a happy number.

734248006848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 734248006794 and 734248006803.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 988220365 + ... + 988221107.

Almost surely, 2^734248006848 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 734248006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115374147200).

734248006848 is an abundant number, since it is smaller than the sum of its proper divisors (1496500287552).

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

734248006848 is an equidigital number, since it uses as much as digits as its factorization.

734248006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 734248006848 in words is "seven hundred thirty-four billion, two hundred forty-eight million, six thousand, eight hundred forty-eight".