101580561414 has 48 divisors (see below), whose sum is σ = 233375491440. Its totient is φ = 31822225920.

The previous prime is 101580561413. The next prime is 101580561421. The reversal of 101580561414 is 414165085101.

101580561414 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 80 + 561 + 4 + 14 = 666.

It is a super-2 number, since 2×101580561414² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101580561413) 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, 28759 + ... + 451650.

It is an arithmetic number, because the mean of its divisors is an integer number (4861989405).

Almost surely, 2^101580561414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101580561414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116687745720).

101580561414 is an abundant number, since it is smaller than the sum of its proper divisors (131794930026).

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

101580561414 is a wasteful number, since it uses less digits than its factorization.

101580561414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481125 (or 481122 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 101580561414 in words is "one hundred one billion, five hundred eighty million, five hundred sixty-one thousand, four hundred fourteen".