6129733241408 has 224 divisors, whose sum is σ = 14754146654208. Its totient is φ = 2473375979520.

The previous prime is 6129733241369. The next prime is 6129733241521. The reversal of 6129733241408 is 8041423379216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6129733241408² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493809410 + ... + 493821822.

Almost surely, 2^{6129733241408} 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 6129733241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377073327104).

6129733241408 is an abundant number, since it is smaller than the sum of its proper divisors (8624413412800).

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

6129733241408 is an equidigital number, since it uses as much as digits as its factorization.

6129733241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 6129733241408 in words is "six trillion, one hundred twenty-nine billion, seven hundred thirty-three million, two hundred forty-one thousand, four hundred eight".