6356149942272 has 864 divisors, whose sum is σ = 20027212208640. Its totient is φ = 1789758996480.

The previous prime is 6356149942271. The next prime is 6356149942273. The reversal of 6356149942272 is 2722499416536.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6356149942271) and next prime (6356149942273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6356149942271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11620017903 + ... + 11620018449.

It is an arithmetic number, because the mean of its divisors is an integer number (23179643760).

Almost surely, 2^{6356149942272} is an apocalyptic number.

6356149942272 is a gapful number since it is divisible by the number (62) 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 6356149942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013606104320).

6356149942272 is an abundant number, since it is smaller than the sum of its proper divisors (13671062266368).

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

6356149942272 is a wasteful number, since it uses less digits than its factorization.

6356149942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 615 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 60.

The spelling of 6356149942272 in words is "six trillion, three hundred fifty-six billion, one hundred forty-nine million, nine hundred forty-two thousand, two hundred seventy-two".