6151536249936 has 320 divisors, whose sum is σ = 20032064532480. Its totient is φ = 1580156190720.

The previous prime is 6151536249931. The next prime is 6151536249979. The reversal of 6151536249936 is 6399426351516.

It is a self number, because there is not a number n which added to its sum of digits gives 6151536249936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6151536249931) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 292738566 + ... + 292759578.

It is an arithmetic number, because the mean of its divisors is an integer number (62600201664).

Almost surely, 2^{6151536249936} is an apocalyptic number.

6151536249936 is a gapful number since it is divisible by the number (66) 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 6151536249936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016032266240).

6151536249936 is an abundant number, since it is smaller than the sum of its proper divisors (13880528282544).

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

6151536249936 is a wasteful number, since it uses less digits than its factorization.

6151536249936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 21908 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 60.

The spelling of 6151536249936 in words is "six trillion, one hundred fifty-one billion, five hundred thirty-six million, two hundred forty-nine thousand, nine hundred thirty-six".