814174909912 has 512 divisors, whose sum is σ = 2098172160000. Its totient is φ = 293276712960.

The previous prime is 814174909883. The next prime is 814174909927. The reversal of 814174909912 is 219909471418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2306444328 + ... + 2306444680.

It is an arithmetic number, because the mean of its divisors is an integer number (4097992500).

Almost surely, 2^814174909912 is an apocalyptic number.

814174909912 is a gapful number since it is divisible by the number (82) 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 814174909912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049086080000).

814174909912 is an abundant number, since it is smaller than the sum of its proper divisors (1283997250088).

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

814174909912 is a wasteful number, since it uses less digits than its factorization.

814174909912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 814174909912 in words is "eight hundred fourteen billion, one hundred seventy-four million, nine hundred nine thousand, nine hundred twelve".