945893900160 has 1152 divisors, whose sum is σ = 3788381469600. Its totient is φ = 216977080320.

The previous prime is 945893900143. The next prime is 945893900173. The reversal of 945893900160 is 61009398549.

945893900160 is a `hidden beast` number, since 9 + 458 + 93 + 90 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 945893900097 and 945893900106.

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 143 ways as a sum of consecutive naturals, for example, 1071227079 + ... + 1071227961.

Almost surely, 2^945893900160 is an apocalyptic number.

945893900160 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 945893900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894190734800).

945893900160 is an abundant number, since it is smaller than the sum of its proper divisors (2842487569440).

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

945893900160 is a wasteful number, since it uses less digits than its factorization.

945893900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 945893900160 in words is "nine hundred forty-five billion, eight hundred ninety-three million, nine hundred thousand, one hundred sixty".