46868512320 has 336 divisors, whose sum is σ = 184515971328. Its totient is φ = 10696642560.

The previous prime is 46868512319. The next prime is 46868512331. The reversal of 46868512320 is 2321586864.

46868512320 is a `hidden beast` number, since 46 + 8 + 68 + 512 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17880610 + ... + 17883230.

Almost surely, 2^46868512320 is an apocalyptic number.

46868512320 is a gapful number since it is divisible by the number (40) 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 46868512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92257985664).

46868512320 is an abundant number, since it is smaller than the sum of its proper divisors (137647459008).

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

46868512320 is a wasteful number, since it uses less digits than its factorization.

46868512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46868512320 in words is "forty-six billion, eight hundred sixty-eight million, five hundred twelve thousand, three hundred twenty".