819612839136 has 384 divisors, whose sum is σ = 2794216642560. Its totient is φ = 204435652608.

The previous prime is 819612839119. The next prime is 819612839161. The reversal of 819612839136 is 631938216918.

It is a super-2 number, since 2×819612839136² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 17859676 + ... + 17905508.

It is an arithmetic number, because the mean of its divisors is an integer number (7276605840).

Almost surely, 2^819612839136 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 819612839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397108321280).

819612839136 is an abundant number, since it is smaller than the sum of its proper divisors (1974603803424).

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

819612839136 is a wasteful number, since it uses less digits than its factorization.

819612839136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45978 (or 45970 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The spelling of 819612839136 in words is "eight hundred nineteen billion, six hundred twelve million, eight hundred thirty-nine thousand, one hundred thirty-six".