3136891650048 has 504 divisors, whose sum is σ = 10131353258208. Its totient is φ = 964178214912.

The previous prime is 3136891650031. The next prime is 3136891650083. The reversal of 3136891650048 is 8400561986313.

3136891650048 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 8 + 91 + 6 + 500 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3136891649976 and 3136891650003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3312451111 + ... + 3312452057.

Almost surely, 2^{3136891650048} 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 3136891650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065676629104).

3136891650048 is an abundant number, since it is smaller than the sum of its proper divisors (6994461608160).

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

3136891650048 is an frugal number, since it uses more digits than its factorization.

3136891650048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3136891650048 in words is "three trillion, one hundred thirty-six billion, eight hundred ninety-one million, six hundred fifty thousand, forty-eight".