102245568812352 has 1344 divisors, whose sum is σ = 374969228175360. Its totient is φ = 26960377872384.

The previous prime is 102245568812329. The next prime is 102245568812371. The reversal of 102245568812352 is 253218865542201.

102245568812352 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 5 + 568 + 8 + 1 + 23 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×102245568812352² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28891088599 + ... + 28891092137.

It is an arithmetic number, because the mean of its divisors is an integer number (278994961440).

Almost surely, 2^{102245568812352} is an apocalyptic number.

102245568812352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102245568812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187484614087680).

102245568812352 is an abundant number, since it is smaller than the sum of its proper divisors (272723659363008).

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

102245568812352 is a wasteful number, since it uses less digits than its factorization.

102245568812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 102245568812352 in words is "one hundred two trillion, two hundred forty-five billion, five hundred sixty-eight million, eight hundred twelve thousand, three hundred fifty-two".