945495936000 has 4224 divisors, whose sum is σ = 4892677171200. Its totient is φ = 175177728000.

The previous prime is 945495935977. The next prime is 945495936013. The reversal of 945495936000 is 639594549.

945495936000 is a `hidden beast` number, since 9 + 4 + 5 + 49 + 593 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 49762943991 + ... + 49762944009.

Almost surely, 2^945495936000 is an apocalyptic number.

945495936000 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 945495936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446338585600).

945495936000 is an abundant number, since it is smaller than the sum of its proper divisors (3947181235200).

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

945495936000 is a wasteful number, since it uses less digits than its factorization.

945495936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 945495936000 in words is "nine hundred forty-five billion, four hundred ninety-five million, nine hundred thirty-six thousand".