748808208000 has 384 divisors, whose sum is σ = 2700440954640. Its totient is φ = 198844416000.

The previous prime is 748808207993. The next prime is 748808208011. The reversal of 748808208000 is 802808847.

It can be written as a sum of positive squares in 8 ways, for example, as 175856099904 + 572952108096 = 419352^2 + 756936^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34693212 + ... + 34714788.

Almost surely, 2^748808208000 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 748808208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350220477320).

748808208000 is an abundant number, since it is smaller than the sum of its proper divisors (1951632746640).

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

748808208000 is a wasteful number, since it uses less digits than its factorization.

748808208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21853 (or 21828 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 748808208000 in words is "seven hundred forty-eight billion, eight hundred eight million, two hundred eight thousand".