46620368018784 has 1536 divisors, whose sum is σ = 171972218880000. Its totient is φ = 12241148903424.

The previous prime is 46620368018723. The next prime is 46620368018789. The reversal of 46620368018784 is 48781086302664.

46620368018784 is a `hidden beast` number, since 466 + 2 + 0 + 3 + 6 + 80 + 18 + 7 + 84 = 666.

46620368018784 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46620368018789) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 40433969952 + ... + 40433971104.

It is an arithmetic number, because the mean of its divisors is an integer number (111961080000).

Almost surely, 2^{46620368018784} 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 46620368018784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85986109440000).

46620368018784 is an abundant number, since it is smaller than the sum of its proper divisors (125351850861216).

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

46620368018784 is a wasteful number, since it uses less digits than its factorization.

46620368018784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 46620368018784 in words is "forty-six trillion, six hundred twenty billion, three hundred sixty-eight million, eighteen thousand, seven hundred eighty-four".