946451142 has 320 divisors, whose sum is σ = 2862182400. Its totient is φ = 226748160.

The previous prime is 946451137. The next prime is 946451147. The reversal of 946451142 is 241154649.

946451142 is a `hidden beast` number, since 9 + 4 + 645 + 1 + 1 + 4 + 2 = 666.

946451142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (946451137) and next prime (946451147).

It is a junction number, because it is equal to n+sod(n) for n = 946451097 and 946451106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946451147) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8682984 + ... + 8683092.

It is an arithmetic number, because the mean of its divisors is an integer number (8944320).

Almost surely, 2^946451142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946451142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431091200).

946451142 is an abundant number, since it is smaller than the sum of its proper divisors (1915731258).

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

946451142 is a wasteful number, since it uses less digits than its factorization.

946451142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 946451142 is about 30764.4460700985. The cubic root of 946451142 is about 981.8219411051.

It can be divided in two parts, 9464 and 51142, that added together give a palindrome (60606).

The spelling of 946451142 in words is "nine hundred forty-six million, four hundred fifty-one thousand, one hundred forty-two".