946225152 has 300 divisors, whose sum is σ = 3044971776. Its totient is φ = 291962880.

The previous prime is 946225141. The next prime is 946225171. The reversal of 946225152 is 251522649.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30523377 + ... + 30523407.

Almost surely, 2^946225152 is an apocalyptic number.

946225152 is a gapful number since it is divisible by the number (92) 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 946225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522485888).

946225152 is an abundant number, since it is smaller than the sum of its proper divisors (2098746624).

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

946225152 is an equidigital number, since it uses as much as digits as its factorization.

946225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

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

The square root of 946225152 is about 30760.7729421743. The cubic root of 946225152 is about 981.7437896497.

The spelling of 946225152 in words is "nine hundred forty-six million, two hundred twenty-five thousand, one hundred fifty-two".