46673887886976 has 768 divisors, whose sum is σ = 153563275008000. Its totient is φ = 12488028069888.

The previous prime is 46673887886963. The next prime is 46673887887001. The reversal of 46673887886976 is 67968878837664.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46673887886976.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32661922230 + ... + 32661923658.

It is an arithmetic number, because the mean of its divisors is an integer number (199952181000).

Almost surely, 2^{46673887886976} 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 46673887886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76781637504000).

46673887886976 is an abundant number, since it is smaller than the sum of its proper divisors (106889387121024).

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

46673887886976 is a wasteful number, since it uses less digits than its factorization.

46673887886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2450 counting only the distinct ones).

The product of its digits is 196644962304, while the sum is 93.

The spelling of 46673887886976 in words is "forty-six trillion, six hundred seventy-three billion, eight hundred eighty-seven million, eight hundred eighty-six thousand, nine hundred seventy-six".