46705648947000 has 512 divisors, whose sum is σ = 157083958886400. Its totient is φ = 11520098304000.

The previous prime is 46705648946947. The next prime is 46705648947011. The reversal of 46705648947000 is 74984650764.

46705648947000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 3013843252 + ... + 3013858748.

It is an arithmetic number, because the mean of its divisors is an integer number (306804607200).

Almost surely, 2^{46705648947000} is an apocalyptic number.

46705648947000 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 46705648947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78541979443200).

46705648947000 is an abundant number, since it is smaller than the sum of its proper divisors (110378309939400).

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

46705648947000 is a wasteful number, since it uses less digits than its factorization.

46705648947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 16970 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 46705648947000 in words is "forty-six trillion, seven hundred five billion, six hundred forty-eight million, nine hundred forty-seven thousand".