46674011520864 has 1152 divisors, whose sum is σ = 169626763837440. Its totient is φ = 11847379894272.

The previous prime is 46674011520833. The next prime is 46674011520889. The reversal of 46674011520864 is 46802511047664.

46674011520864 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 40 + 11 + 520 + 8 + 64 = 666.

46674011520864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46674011520864.

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 191 ways as a sum of consecutive naturals, for example, 28511918254 + ... + 28511919890.

It is an arithmetic number, because the mean of its divisors is an integer number (147245454720).

Almost surely, 2^{46674011520864} 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 46674011520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84813381918720).

46674011520864 is an abundant number, since it is smaller than the sum of its proper divisors (122952752316576).

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

46674011520864 is a wasteful number, since it uses less digits than its factorization.

46674011520864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 46674011520864 in words is "forty-six trillion, six hundred seventy-four billion, eleven million, five hundred twenty thousand, eight hundred sixty-four".