945689472000 has 2816 divisors, whose sum is σ = 4486384680960. Its totient is φ = 191102976000.

The previous prime is 945689471971. The next prime is 945689472011. The reversal of 945689472000 is 274986549.

945689472000 is a `hidden beast` number, since 9 + 4 + 568 + 9 + 4 + 72 + 0 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 9749375952 + ... + 9749376048.

Almost surely, 2^945689472000 is an apocalyptic number.

945689472000 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 945689472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243192340480).

945689472000 is an abundant number, since it is smaller than the sum of its proper divisors (3540695208960).

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

945689472000 is a wasteful number, since it uses less digits than its factorization.

945689472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 945689472000 in words is "nine hundred forty-five billion, six hundred eighty-nine million, four hundred seventy-two thousand".