748579605552 has 160 divisors (see below), whose sum is σ = 2262337740800. Its totient is φ = 236336341248.

The previous prime is 748579605551. The next prime is 748579605569. The reversal of 748579605552 is 255506975847.

748579605552 is a `hidden beast` number, since 7 + 4 + 8 + 5 + 79 + 6 + 0 + 5 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 748579605552.

It is not an unprimeable number, because it can be changed into a prime (748579605551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45160338 + ... + 45176910.

It is an arithmetic number, because the mean of its divisors is an integer number (14139610880).

Almost surely, 2^748579605552 is an apocalyptic number.

748579605552 is a gapful number since it is divisible by the number (72) 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 748579605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131168870400).

748579605552 is an abundant number, since it is smaller than the sum of its proper divisors (1513758135248).

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

748579605552 is a wasteful number, since it uses less digits than its factorization.

748579605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22100 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 748579605552 in words is "seven hundred forty-eight billion, five hundred seventy-nine million, six hundred five thousand, five hundred fifty-two".