746554707455648 has 384 divisors, whose sum is σ = 1860045409474560. Its totient is φ = 287130355200000.

The previous prime is 746554707455597. The next prime is 746554707455663. The reversal of 746554707455648 is 846554707455647.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5840653883 + ... + 5840781701.

It is an arithmetic number, because the mean of its divisors is an integer number (4843868253840).

Almost surely, 2^{746554707455648} 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 746554707455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930022704737280).

746554707455648 is an abundant number, since it is smaller than the sum of its proper divisors (1113490702018912).

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

746554707455648 is a wasteful number, since it uses less digits than its factorization.

746554707455648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128292 (or 128284 counting only the distinct ones).

The product of its (nonzero) digits is 15805440000, while the sum is 77.

Subtracting 746554707455648 from its reverse (846554707455647), we obtain a palindrome (99999999999999).

The spelling of 746554707455648 in words is "seven hundred forty-six trillion, five hundred fifty-four billion, seven hundred seven million, four hundred fifty-five thousand, six hundred forty-eight".