945817452480 has 224 divisors, whose sum is σ = 3176918208000. Its totient is φ = 237741723648.

The previous prime is 945817452469. The next prime is 945817452497. The reversal of 945817452480 is 84254718549.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 945817452480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3499474 + ... + 3760046.

Almost surely, 2^945817452480 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 945817452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588459104000).

945817452480 is an abundant number, since it is smaller than the sum of its proper divisors (2231100755520).

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

945817452480 is a wasteful number, since it uses less digits than its factorization.

945817452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260811 (or 260801 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 945817452480 in words is "nine hundred forty-five billion, eight hundred seventeen million, four hundred fifty-two thousand, four hundred eighty".