945612884160 has 336 divisors, whose sum is σ = 3778101168192. Its totient is φ = 212596531200.

The previous prime is 945612884119. The next prime is 945612884191. The reversal of 945612884160 is 61488216549.

945612884160 is a `hidden beast` number, since 9 + 4 + 5 + 612 + 8 + 8 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 945612884097 and 945612884106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845290 + ... + 1614230.

Almost surely, 2^945612884160 is an apocalyptic number.

945612884160 is a gapful number since it is divisible by the number (90) 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 945612884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889050584096).

945612884160 is an abundant number, since it is smaller than the sum of its proper divisors (2832488284032).

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

945612884160 is a wasteful number, since it uses less digits than its factorization.

945612884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769032 (or 769019 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 945612884160 in words is "nine hundred forty-five billion, six hundred twelve million, eight hundred eighty-four thousand, one hundred sixty".