945688051769472 has 4608 divisors, whose sum is σ = 3642331650048000. Its totient is φ = 233161555968000.

The previous prime is 945688051769437. The next prime is 945688051769551. The reversal of 945688051769472 is 274967150886549.

945688051769472 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 8 + 8 + 0 + 517 + 6 + 94 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 945688051769391 and 945688051769400.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2857063600347 + ... + 2857063600677.

It is an arithmetic number, because the mean of its divisors is an integer number (790436556000).

Almost surely, 2^{945688051769472} is an apocalyptic number.

945688051769472 is a gapful number since it is divisible by the number (92) 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 945688051769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821165825024000).

945688051769472 is an abundant number, since it is smaller than the sum of its proper divisors (2696643598278528).

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

945688051769472 is a wasteful number, since it uses less digits than its factorization.

945688051769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 945688051769472 in words is "nine hundred forty-five trillion, six hundred eighty-eight billion, fifty-one million, seven hundred sixty-nine thousand, four hundred seventy-two".