945792278172 has 288 divisors, whose sum is σ = 2917738635840. Its totient is φ = 264076001280.

The previous prime is 945792278161. The next prime is 945792278201. The reversal of 945792278172 is 271872297549.

945792278172 is a `hidden beast` number, since 9 + 457 + 9 + 2 + 2 + 7 + 8 + 172 = 666.

It is a super-3 number, since 3×945792278172³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 72075772 + ... + 72088892.

It is an arithmetic number, because the mean of its divisors is an integer number (10131036930).

Almost surely, 2^945792278172 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 945792278172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458869317920).

945792278172 is an abundant number, since it is smaller than the sum of its proper divisors (1971946357668).

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

945792278172 is a wasteful number, since it uses less digits than its factorization.

945792278172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13458 (or 13443 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 945792278172 in words is "nine hundred forty-five billion, seven hundred ninety-two million, two hundred seventy-eight thousand, one hundred seventy-two".