1561198144 has 63 divisors (see below), whose sum is σ = 3412843441. Its totient is φ = 708055040.

The previous prime is 1561198141. The next prime is 1561198147. The reversal of 1561198144 is 4418911651.

The square root of 1561198144 is 39512.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1561198141) and next prime (1561198147).

It can be written as a sum of positive squares in only one way, i.e., 954068544 + 607129600 = 30888^2 + 24640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1561198097 and 1561198106.

It is not an unprimeable number, because it can be changed into a prime (1561198141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3476832 + ... + 3477280.

Almost surely, 2^1561198144 is an apocalyptic number.

1561198144 is the 39512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561198144

1561198144 is an abundant number, since it is smaller than the sum of its proper divisors (1851645297).

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

1561198144 is an frugal number, since it uses more digits than its factorization.

1561198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 462 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The cubic root of 1561198144 is about 1160.0748425750.

The spelling of 1561198144 in words is "one billion, five hundred sixty-one million, one hundred ninety-eight thousand, one hundred forty-four".