6615411409152 has 1296 divisors, whose sum is σ = 24646220446848. Its totient is φ = 1732826234880.

The previous prime is 6615411409129. The next prime is 6615411409249. The reversal of 6615411409152 is 2519041145166.

6615411409152 is a `hidden beast` number, since 6 + 6 + 1 + 541 + 14 + 0 + 91 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×6615411409152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6615411409098 and 6615411409107.

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, 17735687238 + ... + 17735687610.

Almost surely, 2^{6615411409152} 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 6615411409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323110223424).

6615411409152 is an abundant number, since it is smaller than the sum of its proper divisors (18030809037696).

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

6615411409152 is a wasteful number, since it uses less digits than its factorization.

6615411409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 6615411409152 in words is "six trillion, six hundred fifteen billion, four hundred eleven million, four hundred nine thousand, one hundred fifty-two".