946180512 has 144 divisors (see below), whose sum is σ = 2802159360. Its totient is φ = 302515200.

The previous prime is 946180489. The next prime is 946180517. The reversal of 946180512 is 215081649.

946180512 is a `hidden beast` number, since 9 + 4 + 61 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×946180512² = 1790515122577164288, which contains 22 as substring.

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 (946180517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169164 + ... + 1169972.

It is an arithmetic number, because the mean of its divisors is an integer number (19459440).

Almost surely, 2^946180512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946180512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401079680).

946180512 is an abundant number, since it is smaller than the sum of its proper divisors (1855978848).

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

946180512 is a wasteful number, since it uses less digits than its factorization.

946180512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 946180512 is about 30760.0473341638. The cubic root of 946180512 is about 981.7283508534.

The spelling of 946180512 in words is "nine hundred forty-six million, one hundred eighty thousand, five hundred twelve".