945649296000 has 1024 divisors, whose sum is σ = 3622742323200. Its totient is φ = 242196480000.

The previous prime is 945649295939. The next prime is 945649296013. The reversal of 945649296000 is 692946549.

It is a happy number.

945649296000 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 4 + 9 + 29 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3227471854 + ... + 3227472146.

It is an arithmetic number, because the mean of its divisors is an integer number (3537834300).

Almost surely, 2^945649296000 is an apocalyptic number.

945649296000 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 945649296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811371161600).

945649296000 is an abundant number, since it is smaller than the sum of its proper divisors (2677093027200).

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

945649296000 is a wasteful number, since it uses less digits than its factorization.

945649296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 945649296000 in words is "nine hundred forty-five billion, six hundred forty-nine million, two hundred ninety-six thousand".