1561015666112 has 224 divisors, whose sum is σ = 3706204529664. Its totient is φ = 638501068800.

The previous prime is 1561015666109. The next prime is 1561015666117. The reversal of 1561015666112 is 2116665101651.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 1561015666112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561015666117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157023062 + ... + 157033002.

It is an arithmetic number, because the mean of its divisors is an integer number (16545555936).

Almost surely, 2^{1561015666112} 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 1561015666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853102264832).

1561015666112 is an abundant number, since it is smaller than the sum of its proper divisors (2145188863552).

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

1561015666112 is a wasteful number, since it uses less digits than its factorization.

1561015666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 1561015666112 in words is "one trillion, five hundred sixty-one billion, fifteen million, six hundred sixty-six thousand, one hundred twelve".