46842204044160 has 480 divisors, whose sum is σ = 194593320571320. Its totient is φ = 10706788915200.

The previous prime is 46842204044149. The next prime is 46842204044173. The reversal of 46842204044160 is 6144040224864.

46842204044160 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 220 + 4 + 0 + 4 + 416 + 0 = 666.

46842204044160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 6680166 + ... + 11760485.

Almost surely, 2^{46842204044160} is an apocalyptic number.

46842204044160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46842204044160 is an abundant number, since it is smaller than the sum of its proper divisors (147751116527160).

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

46842204044160 is a wasteful number, since it uses less digits than its factorization.

46842204044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440696 (or 18440668 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 46842204044160 in words is "forty-six trillion, eight hundred forty-two billion, two hundred four million, forty-four thousand, one hundred sixty".