46685810544912 has 1280 divisors, whose sum is σ = 175241309552640. Its totient is φ = 11548293120000.

The previous prime is 46685810544911. The next prime is 46685810544931. The reversal of 46685810544912 is 21944501858664.

46685810544912 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 5 + 81 + 0 + 544 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 46685810544912.

It is not an unprimeable number, because it can be changed into a prime (46685810544911) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48988258228 + ... + 48988259180.

It is an arithmetic number, because the mean of its divisors is an integer number (136907273088).

Almost surely, 2^{46685810544912} is an apocalyptic number.

46685810544912 is a gapful number since it is divisible by the number (42) 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 46685810544912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87620654776320).

46685810544912 is an abundant number, since it is smaller than the sum of its proper divisors (128555499007728).

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

46685810544912 is a wasteful number, since it uses less digits than its factorization.

46685810544912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 46685810544912 in words is "forty-six trillion, six hundred eighty-five billion, eight hundred ten million, five hundred forty-four thousand, nine hundred twelve".