6135561454224 has 160 divisors (see below), whose sum is σ = 16723689615360. Its totient is φ = 1934515275264.

The previous prime is 6135561454153. The next prime is 6135561454259. The reversal of 6135561454224 is 4224541655316.

It is a super-2 number, since 2×6135561454224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 80583757 + ... + 80659859.

It is an arithmetic number, because the mean of its divisors is an integer number (104523060096).

Almost surely, 2^{6135561454224} 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 6135561454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361844807680).

6135561454224 is an abundant number, since it is smaller than the sum of its proper divisors (10588128161136).

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

6135561454224 is a wasteful number, since it uses less digits than its factorization.

6135561454224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76949 (or 76943 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 6135561454224 in words is "six trillion, one hundred thirty-five billion, five hundred sixty-one million, four hundred fifty-four thousand, two hundred twenty-four".