831201791616 has 192 divisors, whose sum is σ = 2785143553920. Its totient is φ = 233005234176.

The previous prime is 831201791599. The next prime is 831201791647. The reversal of 831201791616 is 616197102138.

831201791616 is a `hidden beast` number, since 8 + 3 + 1 + 20 + 1 + 7 + 9 + 1 + 616 = 666.

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, 545020 + ... + 1399803.

It is an arithmetic number, because the mean of its divisors is an integer number (14505956010).

Almost surely, 2^831201791616 is an apocalyptic number.

It is an amenable number.

831201791616 is an abundant number, since it is smaller than the sum of its proper divisors (1953941762304).

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

831201791616 is a wasteful number, since it uses less digits than its factorization.

831201791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944903 (or 1944888 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 831201791616 in words is "eight hundred thirty-one billion, two hundred one million, seven hundred ninety-one thousand, six hundred sixteen".