46405363465216 has 264 divisors, whose sum is σ = 109430387132400. Its totient is φ = 19609909788672.

The previous prime is 46405363465207. The next prime is 46405363465303. The reversal of 46405363465216 is 61256436350464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024220035 + ... + 1024265341.

Almost surely, 2^{46405363465216} 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 46405363465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54715193566200).

46405363465216 is an abundant number, since it is smaller than the sum of its proper divisors (63025023667184).

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

46405363465216 is a wasteful number, since it uses less digits than its factorization.

46405363465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45627 (or 45602 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 55.

The spelling of 46405363465216 in words is "forty-six trillion, four hundred five billion, three hundred sixty-three million, four hundred sixty-five thousand, two hundred sixteen".