748446917664 has 192 divisors, whose sum is σ = 2050903411200. Its totient is φ = 238776864768.

The previous prime is 748446917633. The next prime is 748446917671. The reversal of 748446917664 is 466719644847.

It is a junction number, because it is equal to n+sod(n) for n = 748446917595 and 748446917604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77723602 + ... + 77733230.

It is an arithmetic number, because the mean of its divisors is an integer number (10681788600).

Almost surely, 2^748446917664 is an apocalyptic number.

748446917664 is a gapful number since it is divisible by the number (74) 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 748446917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025451705600).

748446917664 is an abundant number, since it is smaller than the sum of its proper divisors (1302456493536).

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

748446917664 is a wasteful number, since it uses less digits than its factorization.

748446917664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10027 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 748446917664 in words is "seven hundred forty-eight billion, four hundred forty-six million, nine hundred seventeen thousand, six hundred sixty-four".