46846061660160 has 3456 divisors, whose sum is σ = 208878195052800. Its totient is φ = 9478707609600.

The previous prime is 46846061660093. The next prime is 46846061660231. The reversal of 46846061660160 is 6106616064864.

46846061660160 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 6 + 0 + 616 + 6 + 0 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46846061660097 and 46846061660106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 482949089232 + ... + 482949089328.

It is an arithmetic number, because the mean of its divisors is an integer number (60439292550).

Almost surely, 2^{46846061660160} is an apocalyptic number.

46846061660160 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 46846061660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104439097526400).

46846061660160 is an abundant number, since it is smaller than the sum of its proper divisors (162032133392640).

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

46846061660160 is a wasteful number, since it uses less digits than its factorization.

46846061660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46846061660160 in words is "forty-six trillion, eight hundred forty-six billion, sixty-one million, six hundred sixty thousand, one hundred sixty".