748036912896 has 720 divisors, whose sum is σ = 2792189030400. Its totient is φ = 193911791616.

The previous prime is 748036912849. The next prime is 748036912921. The reversal of 748036912896 is 698219630847.

748036912896 is a `hidden beast` number, since 7 + 480 + 3 + 69 + 1 + 2 + 8 + 96 = 666.

It is a super-2 number, since 2×748036912896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111328225 + ... + 111334943.

It is an arithmetic number, because the mean of its divisors is an integer number (3878040320).

Almost surely, 2^748036912896 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 748036912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396094515200).

748036912896 is an abundant number, since it is smaller than the sum of its proper divisors (2044152117504).

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

748036912896 is a wasteful number, since it uses less digits than its factorization.

748036912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 748036912896 in words is "seven hundred forty-eight billion, thirty-six million, nine hundred twelve thousand, eight hundred ninety-six".