946401361506 has 80 divisors (see below), whose sum is σ = 2232518244000. Its totient is φ = 298828040832.

The previous prime is 946401361489. The next prime is 946401361513. The reversal of 946401361506 is 605163104649.

946401361506 is a `hidden beast` number, since 9 + 4 + 6 + 4 + 0 + 136 + 1 + 506 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40306986 + ... + 40330458.

It is an arithmetic number, because the mean of its divisors is an integer number (27906478050).

Almost surely, 2^946401361506 is an apocalyptic number.

946401361506 is an abundant number, since it is smaller than the sum of its proper divisors (1286116882494).

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

946401361506 is a wasteful number, since it uses less digits than its factorization.

946401361506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36605 (or 36596 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 946401361506 in words is "nine hundred forty-six billion, four hundred one million, three hundred sixty-one thousand, five hundred six".