748903397829120 has 1280 divisors, whose sum is σ = 2847606358671360. Its totient is φ = 186214322995200.

The previous prime is 748903397829101. The next prime is 748903397829127. The reversal of 748903397829120 is 21928793309847.

748903397829120 is a `hidden beast` number, since 7 + 4 + 8 + 90 + 3 + 397 + 8 + 29 + 120 = 666.

748903397829120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (748903397829127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8165860065 + ... + 8165951775.

It is an arithmetic number, because the mean of its divisors is an integer number (2224692467712).

Almost surely, 2^{748903397829120} 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 748903397829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423803179335680).

748903397829120 is an abundant number, since it is smaller than the sum of its proper divisors (2098702960842240).

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

748903397829120 is a wasteful number, since it uses less digits than its factorization.

748903397829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91914 (or 91892 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 748903397829120 in words is "seven hundred forty-eight trillion, nine hundred three billion, three hundred ninety-seven million, eight hundred twenty-nine thousand, one hundred twenty".