825337190016 has 192 divisors, whose sum is σ = 2464770789000. Its totient is φ = 264773763072.

The previous prime is 825337190003. The next prime is 825337190033. The reversal of 825337190016 is 610091733528.

It can be written as a sum of positive squares in 4 ways, for example, as 686577960000 + 138759230016 = 828600^2 + 372504^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10417240 + ... + 10496168.

Almost surely, 2^825337190016 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 825337190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232385394500).

825337190016 is an abundant number, since it is smaller than the sum of its proper divisors (1639433598984).

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

825337190016 is a wasteful number, since it uses less digits than its factorization.

825337190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79291 (or 79276 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 825337190016 in words is "eight hundred twenty-five billion, three hundred thirty-seven million, one hundred ninety thousand, sixteen".