6011624261106 has 48 divisors (see below), whose sum is σ = 13474602212760. Its totient is φ = 1934736572160.

The previous prime is 6011624261101. The next prime is 6011624261161.

6011624261106 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 624 + 26 + 1 + 1 + 0 + 6 = 666.

6011624261106 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5737744738881 + 273879522225 = 2395359^2 + 523335^2 .

It is a super-2 number, since 2×6011624261106² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6011624261101) 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, 37291116 + ... + 37451976.

Almost surely, 2^{6011624261106} is an apocalyptic number.

6011624261106 is an abundant number, since it is smaller than the sum of its proper divisors (7462977951654).

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

6011624261106 is a wasteful number, since it uses less digits than its factorization.

6011624261106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232491 (or 232488 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 6011624261106 in words is "six trillion, eleven billion, six hundred twenty-four million, two hundred sixty-one thousand, one hundred six".