6415220269152 has 144 divisors (see below), whose sum is σ = 18520401332160. Its totient is φ = 2105940646656.

The previous prime is 6415220269151. The next prime is 6415220269231. The reversal of 6415220269152 is 2519620225146.

6415220269152 is a `hidden beast` number, since 6 + 4 + 15 + 220 + 269 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6415220269152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6415220269098 and 6415220269107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6415220269151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77509263 + ... + 77591985.

It is an arithmetic number, because the mean of its divisors is an integer number (128613898140).

Almost surely, 2^{6415220269152} 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 6415220269152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260200666080).

6415220269152 is an abundant number, since it is smaller than the sum of its proper divisors (12105181063008).

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

6415220269152 is a wasteful number, since it uses less digits than its factorization.

6415220269152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86825 (or 86814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6415220269152 in words is "six trillion, four hundred fifteen billion, two hundred twenty million, two hundred sixty-nine thousand, one hundred fifty-two".