945775669608 has 768 divisors, whose sum is σ = 3499535155200. Its totient is φ = 231255129600.

The previous prime is 945775669519. The next prime is 945775669679. The reversal of 945775669608 is 806966577549.

945775669608 is a `hidden beast` number, since 9 + 4 + 5 + 7 + 7 + 5 + 6 + 6 + 9 + 608 = 666.

It is a super-3 number, since 3×945775669608³ (a number of 37 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 209843691 + ... + 209848197.

It is an arithmetic number, because the mean of its divisors is an integer number (4556686400).

Almost surely, 2^945775669608 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 945775669608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749767577600).

945775669608 is an abundant number, since it is smaller than the sum of its proper divisors (2553759485592).

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

945775669608 is a wasteful number, since it uses less digits than its factorization.

945775669608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 945775669608 in words is "nine hundred forty-five billion, seven hundred seventy-five million, six hundred sixty-nine thousand, six hundred eight".