748354387968 has 960 divisors, whose sum is σ = 2578914938880. Its totient is φ = 214106112000.

The previous prime is 748354387919. The next prime is 748354387993. The reversal of 748354387968 is 869783453847.

748354387968 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 543 + 8 + 79 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 748354387896 and 748354387905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18252546028 + ... + 18252546068.

It is an arithmetic number, because the mean of its divisors is an integer number (2686369728).

Almost surely, 2^748354387968 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 748354387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289457469440).

748354387968 is an abundant number, since it is smaller than the sum of its proper divisors (1830560550912).

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

748354387968 is an equidigital number, since it uses as much as digits as its factorization.

748354387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 748354387968 in words is "seven hundred forty-eight billion, three hundred fifty-four million, three hundred eighty-seven thousand, nine hundred sixty-eight".