1561398048 has 288 divisors, whose sum is σ = 5561861760. Its totient is φ = 405135360.

The previous prime is 1561398043. The next prime is 1561398061. The reversal of 1561398048 is 8408931651.

1561398048 is a `hidden beast` number, since 1 + 561 + 3 + 9 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1561397994 and 1561398012.

It is not an unprimeable number, because it can be changed into a prime (1561398043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993103 + ... + 994673.

It is an arithmetic number, because the mean of its divisors is an integer number (19312020).

Almost surely, 2^1561398048 is an apocalyptic number.

1561398048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561398048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780930880).

1561398048 is an abundant number, since it is smaller than the sum of its proper divisors (4000463712).

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

1561398048 is a wasteful number, since it uses less digits than its factorization.

1561398048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1561398048 is about 39514.5295809023. The cubic root of 1561398048 is about 1160.1243544845.

The spelling of 1561398048 in words is "one billion, five hundred sixty-one million, three hundred ninety-eight thousand, forty-eight".