3139245196416 has 768 divisors, whose sum is σ = 11037245506560. Its totient is φ = 869396115456.

The previous prime is 3139245196301. The next prime is 3139245196457. The reversal of 3139245196416 is 6146915429313.

3139245196416 is a `hidden beast` number, since 3 + 1 + 3 + 92 + 4 + 51 + 96 + 416 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2795409231 + ... + 2795410353.

It is an arithmetic number, because the mean of its divisors is an integer number (14371413420).

Almost surely, 2^{3139245196416} is an apocalyptic number.

3139245196416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3139245196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518622753280).

3139245196416 is an abundant number, since it is smaller than the sum of its proper divisors (7898000310144).

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

3139245196416 is a wasteful number, since it uses less digits than its factorization.

3139245196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1519 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 3139245196416 in words is "three trillion, one hundred thirty-nine billion, two hundred forty-five million, one hundred ninety-six thousand, four hundred sixteen".