6157481746416 has 720 divisors, whose sum is σ = 22105886695200. Its totient is φ = 1462679285760.

The previous prime is 6157481746373. The next prime is 6157481746453. The reversal of 6157481746416 is 6146471847516.

It is a self number, because there is not a number n which added to its sum of digits gives 6157481746416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 403259230 + ... + 403274498.

It is an arithmetic number, because the mean of its divisors is an integer number (30702620410).

Almost surely, 2^{6157481746416} is an apocalyptic number.

6157481746416 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 6157481746416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052943347600).

6157481746416 is an abundant number, since it is smaller than the sum of its proper divisors (15948404948784).

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

6157481746416 is a wasteful number, since it uses less digits than its factorization.

6157481746416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15414 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 6157481746416 in words is "six trillion, one hundred fifty-seven billion, four hundred eighty-one million, seven hundred forty-six thousand, four hundred sixteen".