945658496640 has 512 divisors, whose sum is σ = 3594184151040. Its totient is φ = 208453386240.

The previous prime is 945658496591. The next prime is 945658496641. The reversal of 945658496640 is 46694856549.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (945658496641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18369817 + ... + 18421223.

It is an arithmetic number, because the mean of its divisors is an integer number (7019890920).

Almost surely, 2^945658496640 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 945658496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797092075520).

945658496640 is an abundant number, since it is smaller than the sum of its proper divisors (2648525654400).

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

945658496640 is a wasteful number, since it uses less digits than its factorization.

945658496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51520 (or 51508 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 945658496640 in words is "nine hundred forty-five billion, six hundred fifty-eight million, four hundred ninety-six thousand, six hundred forty".