945116224272 has 120 divisors (see below), whose sum is σ = 3055201999200. Its totient is φ = 269551856640.

The previous prime is 945116224267. The next prime is 945116224321. The reversal of 945116224272 is 272422611549.

945116224272 is a `hidden beast` number, since 9 + 4 + 5 + 11 + 622 + 4 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×945116224272² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17522022 + ... + 17575877.

It is an arithmetic number, because the mean of its divisors is an integer number (25460016660).

Almost surely, 2^945116224272 is an apocalyptic number.

It is an amenable number.

945116224272 is an abundant number, since it is smaller than the sum of its proper divisors (2110085774928).

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

945116224272 is a wasteful number, since it uses less digits than its factorization.

945116224272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35097941 (or 35097932 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 945116224272 in words is "nine hundred forty-five billion, one hundred sixteen million, two hundred twenty-four thousand, two hundred seventy-two".