45316298081664 has 640 divisors, whose sum is σ = 139727608020000. Its totient is φ = 14570288087040.

The previous prime is 45316298081641. The next prime is 45316298081701. The reversal of 45316298081664 is 46618089261354.

45316298081664 is a `hidden beast` number, since 4 + 531 + 6 + 2 + 9 + 80 + 8 + 16 + 6 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 12023425572 + ... + 12023429340.

Almost surely, 2^{45316298081664} 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 45316298081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69863804010000).

45316298081664 is an abundant number, since it is smaller than the sum of its proper divisors (94411309938336).

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

45316298081664 is a wasteful number, since it uses less digits than its factorization.

45316298081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 45316298081664 in words is "forty-five trillion, three hundred sixteen billion, two hundred ninety-eight million, eighty-one thousand, six hundred sixty-four".