945634548128634 has 768 divisors, whose sum is σ = 2716969803448320. Its totient is φ = 238438287360000.

The previous prime is 945634548128617. The next prime is 945634548128657. The reversal of 945634548128634 is 436821845436549.

945634548128634 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 3 + 4 + 548 + 12 + 8 + 63 + 4 = 666.

945634548128634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×945634548128634³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115447993479 + ... + 115448001669.

It is an arithmetic number, because the mean of its divisors is an integer number (3537721098240).

Almost surely, 2^{945634548128634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945634548128634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358484901724160).

945634548128634 is an abundant number, since it is smaller than the sum of its proper divisors (1771335255319686).

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

945634548128634 is a wasteful number, since it uses less digits than its factorization.

945634548128634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8945 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 945634548128634 in words is "nine hundred forty-five trillion, six hundred thirty-four billion, five hundred forty-eight million, one hundred twenty-eight thousand, six hundred thirty-four".