102712449785856 has 448 divisors, whose sum is σ = 281683881192960. Its totient is φ = 33278347182080.

The previous prime is 102712449785819. The next prime is 102712449785879. The reversal of 102712449785856 is 658587944217201.

It is a super-4 number, since 4×102712449785856⁴ (a number of 57 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 68796013846 + ... + 68796015338.

Almost surely, 2^{102712449785856} is an apocalyptic number.

102712449785856 is a gapful number since it is divisible by the number (16) 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 102712449785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140841940596480).

102712449785856 is an abundant number, since it is smaller than the sum of its proper divisors (178971431407104).

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

102712449785856 is an equidigital number, since it uses as much as digits as its factorization.

102712449785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 69.

The spelling of 102712449785856 in words is "one hundred two trillion, seven hundred twelve billion, four hundred forty-nine million, seven hundred eighty-five thousand, eight hundred fifty-six".