748258560000 has 1200 divisors, whose sum is σ = 3194920048320. Its totient is φ = 170864640000.

The previous prime is 748258559929. The next prime is 748258560011. The reversal of 748258560000 is 65852847.

748258560000 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 585 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×748258560000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759485 + ... + 725760515.

Almost surely, 2^748258560000 is an apocalyptic number.

748258560000 is a gapful number since it is divisible by the number (70) 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 748258560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597460024160).

748258560000 is an abundant number, since it is smaller than the sum of its proper divisors (2446661488320).

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

748258560000 is an equidigital number, since it uses as much as digits as its factorization.

748258560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 748258560000 in words is "seven hundred forty-eight billion, two hundred fifty-eight million, five hundred sixty thousand".