809492017152 has 624 divisors, whose sum is σ = 2846740767360. Its totient is φ = 202218799104.

The previous prime is 809492017151. The next prime is 809492017193. The reversal of 809492017152 is 251710294908.

It is a happy number.

809492017152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×809492017152² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809492017151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148718943 + ... + 148724385.

Almost surely, 2^809492017152 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 809492017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423370383680).

809492017152 is an abundant number, since it is smaller than the sum of its proper divisors (2037248750208).

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

809492017152 is a wasteful number, since it uses less digits than its factorization.

809492017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 809492017152 in words is "eight hundred nine billion, four hundred ninety-two million, seventeen thousand, one hundred fifty-two".