46616605002 has 160 divisors (see below), whose sum is σ = 118129492800. Its totient is φ = 13610419200.

The previous prime is 46616604967. The next prime is 46616605003. The reversal of 46616605002 is 20050661664.

It is a happy number.

46616605002 is a `hidden beast` number, since 46 + 6 + 1 + 6 + 605 + 0 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (46616605003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48008377 + ... + 48009347.

It is an arithmetic number, because the mean of its divisors is an integer number (738309330).

Almost surely, 2^46616605002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46616605002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59064746400).

46616605002 is an abundant number, since it is smaller than the sum of its proper divisors (71512887798).

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

46616605002 is a wasteful number, since it uses less digits than its factorization.

46616605002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46616605002 in words is "forty-six billion, six hundred sixteen million, six hundred five thousand, two".