946225152000 has 1440 divisors, whose sum is σ = 3800226253824. Its totient is φ = 233570304000.

The previous prime is 946225151987. The next prime is 946225152001. The reversal of 946225152000 is 251522649.

946225152000 is a `hidden beast` number, since 9 + 4 + 622 + 5 + 1 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (946225152001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30523391985 + ... + 30523392015.

Almost surely, 2^946225152000 is an apocalyptic number.

946225152000 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 946225152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900113126912).

946225152000 is an abundant number, since it is smaller than the sum of its proper divisors (2854001101824).

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

946225152000 is an frugal number, since it uses more digits than its factorization.

946225152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 946225152000 its reverse (251522649), we get a palindrome (946476674649).

The spelling of 946225152000 in words is "nine hundred forty-six billion, two hundred twenty-five million, one hundred fifty-two thousand".