814720608990 has 128 divisors (see below), whose sum is σ = 2190665917440. Its totient is φ = 215453347200.

The previous prime is 814720608953. The next prime is 814720608991. The reversal of 814720608990 is 99806027418.

814720608990 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 20 + 608 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814720608991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57893655 + ... + 57907725.

It is an arithmetic number, because the mean of its divisors is an integer number (17114577480).

Almost surely, 2^814720608990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814720608990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095332958720).

814720608990 is an abundant number, since it is smaller than the sum of its proper divisors (1375945308450).

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

814720608990 is a wasteful number, since it uses less digits than its factorization.

814720608990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 814720608990 in words is "eight hundred fourteen billion, seven hundred twenty million, six hundred eight thousand, nine hundred ninety".