445011348768 has 96 divisors (see below), whose sum is σ = 1335137924736. Its totient is φ = 127136206848.

The previous prime is 445011348763. The next prime is 445011348773. The reversal of 445011348768 is 867843110544.

445011348768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (445011348763) and next prime (445011348773).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 445011348768.

It is not an unprimeable number, because it can be changed into a prime (445011348763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16472680 + ... + 16499672.

It is an arithmetic number, because the mean of its divisors is an integer number (13907686716).

Almost surely, 2^445011348768 is an apocalyptic number.

445011348768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

445011348768 is an abundant number, since it is smaller than the sum of its proper divisors (890126575968).

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

445011348768 is a wasteful number, since it uses less digits than its factorization.

445011348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51546 (or 51538 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 445011348768 in words is "four hundred forty-five billion, eleven million, three hundred forty-eight thousand, seven hundred sixty-eight".