814633717632 has 128 divisors (see below), whose sum is σ = 2473616067840. Its totient is φ = 232694059008.

The previous prime is 814633717603. The next prime is 814633717657. The reversal of 814633717632 is 236717336418.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11299363 + ... + 11371229.

It is an arithmetic number, because the mean of its divisors is an integer number (19325125530).

Almost surely, 2^814633717632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814633717632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236808033920).

814633717632 is an abundant number, since it is smaller than the sum of its proper divisors (1658982350208).

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

814633717632 is a wasteful number, since it uses less digits than its factorization.

814633717632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76108 (or 76096 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 814633717632 in words is "eight hundred fourteen billion, six hundred thirty-three million, seven hundred seventeen thousand, six hundred thirty-two".