945075285685440 has 5376 divisors, whose sum is σ = 4513391788032000. Its totient is φ = 181583420129280.

The previous prime is 945075285685381. The next prime is 945075285685529. The reversal of 945075285685440 is 44586582570549.

It is a happy number.

945075285685440 is a `hidden beast` number, since 9 + 4 + 5 + 0 + 7 + 5 + 2 + 8 + 568 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×945075285685440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1077622902282 + ... + 1077622903158.

Almost surely, 2^{945075285685440} is an apocalyptic number.

945075285685440 is a gapful number since it is divisible by the number (90) 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 945075285685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256695894016000).

945075285685440 is an abundant number, since it is smaller than the sum of its proper divisors (3568316502346560).

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

945075285685440 is a wasteful number, since it uses less digits than its factorization.

945075285685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1935360000, while the sum is 72.

The spelling of 945075285685440 in words is "nine hundred forty-five trillion, seventy-five billion, two hundred eighty-five million, six hundred eighty-five thousand, four hundred forty".