102283079178816 has 392 divisors, whose sum is σ = 314948344529280. Its totient is φ = 32903840922624.

The previous prime is 102283079178779. The next prime is 102283079178853. The reversal of 102283079178816 is 618871970382201.

102283079178816 is a `hidden beast` number, since 1 + 0 + 228 + 307 + 9 + 17 + 88 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (102283079178779) and next prime (102283079178853).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3224240331 + ... + 3224272053.

Almost surely, 2^{102283079178816} is an apocalyptic number.

102283079178816 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 102283079178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474172264640).

102283079178816 is an abundant number, since it is smaller than the sum of its proper divisors (212665265350464).

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

102283079178816 is an equidigital number, since it uses as much as digits as its factorization.

102283079178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34165 (or 34140 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 102283079178816 in words is "one hundred two trillion, two hundred eighty-three billion, seventy-nine million, one hundred seventy-eight thousand, eight hundred sixteen".