945804126960 has 1800 divisors, whose sum is σ = 4432978552464. Its totient is φ = 184772689920.

The previous prime is 945804126947. The next prime is 945804126989. The reversal of 945804126960 is 69621408549.

945804126960 is a `hidden beast` number, since 9 + 458 + 0 + 4 + 126 + 9 + 60 = 666.

945804126960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 945804126897 and 945804126906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1009395612 + ... + 1009396548.

Almost surely, 2^945804126960 is an apocalyptic number.

945804126960 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 945804126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216489276232).

945804126960 is an abundant number, since it is smaller than the sum of its proper divisors (3487174425504).

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

945804126960 is a wasteful number, since it uses less digits than its factorization.

945804126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 945804126960 in words is "nine hundred forty-five billion, eight hundred four million, one hundred twenty-six thousand, nine hundred sixty".