10678114286112 has 384 divisors, whose sum is σ = 35639926898688. Its totient is φ = 2723175936000.

The previous prime is 10678114286089. The next prime is 10678114286149. The reversal of 10678114286112 is 21168241187601.

It is a super-2 number, since 2×10678114286112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352316463 + ... + 352346769.

It is an arithmetic number, because the mean of its divisors is an integer number (92812309632).

Almost surely, 2^{10678114286112} is an apocalyptic number.

10678114286112 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 10678114286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819963449344).

10678114286112 is an abundant number, since it is smaller than the sum of its proper divisors (24961812612576).

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

10678114286112 is a wasteful number, since it uses less digits than its factorization.

10678114286112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31672 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 10678114286112 in words is "ten trillion, six hundred seventy-eight billion, one hundred fourteen million, two hundred eighty-six thousand, one hundred twelve".