4591945398768 has 640 divisors, whose sum is σ = 15263449743360. Its totient is φ = 1157128519680.

The previous prime is 4591945398739. The next prime is 4591945398787. The reversal of 4591945398768 is 8678935491954.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 4591945398693 and 4591945398702.

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 127 ways as a sum of consecutive naturals, for example, 4419581193 + ... + 4419582231.

It is an arithmetic number, because the mean of its divisors is an integer number (23849140224).

Almost surely, 2^{4591945398768} is an apocalyptic number.

4591945398768 is a gapful number since it is divisible by the number (48) 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 4591945398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631724871680).

4591945398768 is an abundant number, since it is smaller than the sum of its proper divisors (10671504344592).

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

4591945398768 is a wasteful number, since it uses less digits than its factorization.

4591945398768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 78.

The spelling of 4591945398768 in words is "four trillion, five hundred ninety-one billion, nine hundred forty-five million, three hundred ninety-eight thousand, seven hundred sixty-eight".