102225313502464 has 108 divisors (see below), whose sum is σ = 211250901525300. Its totient is φ = 49368859238400.

The previous prime is 102225313502461. The next prime is 102225313502519. The reversal of 102225313502464 is 464205313522201.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416000000 + 24714897502464 = 8804000^2 + 4971408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225313502461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127775562 + ... + 128573110.

It is an arithmetic number, because the mean of its divisors is an integer number (1956026865975).

Almost surely, 2^{102225313502464} 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 102225313502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105625450762650).

102225313502464 is an abundant number, since it is smaller than the sum of its proper divisors (109025588022836).

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

102225313502464 is an frugal number, since it uses more digits than its factorization.

102225313502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798148 (or 798103 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 102225313502464 in words is "one hundred two trillion, two hundred twenty-five billion, three hundred thirteen million, five hundred two thousand, four hundred sixty-four".