748432459008 has 864 divisors, whose sum is σ = 2536970284800. Its totient is φ = 217103597568.

The previous prime is 748432458973. The next prime is 748432459043. The reversal of 748432459008 is 800954234847.

748432459008 is a `hidden beast` number, since 7 + 4 + 8 + 43 + 2 + 4 + 590 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (748432458973) and next prime (748432459043).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×748432459008² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391157860 + ... + 2391158172.

It is an arithmetic number, because the mean of its divisors is an integer number (2936308200).

Almost surely, 2^748432459008 is an apocalyptic number.

748432459008 is a gapful number since it is divisible by the number (78) 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 748432459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268485142400).

748432459008 is an abundant number, since it is smaller than the sum of its proper divisors (1788537825792).

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

748432459008 is a wasteful number, since it uses less digits than its factorization.

748432459008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 748432459008 in words is "seven hundred forty-eight billion, four hundred thirty-two million, four hundred fifty-nine thousand, eight".