44922265410816 has 288 divisors, whose sum is σ = 140023287936000. Its totient is φ = 14166854940672.

The previous prime is 44922265410811. The next prime is 44922265410851. The reversal of 44922265410816 is 61801456222944.

44922265410816 is a `hidden beast` number, since 4 + 4 + 92 + 2 + 2 + 6 + 541 + 0 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44922265410811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97346515 + ... + 97806893.

It is an arithmetic number, because the mean of its divisors is an integer number (486191972000).

Almost surely, 2^{44922265410816} 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 44922265410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70011643968000).

44922265410816 is an abundant number, since it is smaller than the sum of its proper divisors (95101022525184).

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

44922265410816 is a wasteful number, since it uses less digits than its factorization.

44922265410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461166 (or 461146 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 44922265410816 in words is "forty-four trillion, nine hundred twenty-two billion, two hundred sixty-five million, four hundred ten thousand, eight hundred sixteen".