1561416948 has 288 divisors, whose sum is σ = 5063385600. Its totient is φ = 403038720.

The previous prime is 1561416943. The next prime is 1561416949. The reversal of 1561416948 is 8496141651.

1561416948 is a `hidden beast` number, since 1 + 561 + 41 + 6 + 9 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561416943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11397136 + ... + 11397272.

It is an arithmetic number, because the mean of its divisors is an integer number (17581200).

Almost surely, 2^1561416948 is an apocalyptic number.

1561416948 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 1561416948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531692800).

1561416948 is an abundant number, since it is smaller than the sum of its proper divisors (3501968652).

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

1561416948 is a wasteful number, since it uses less digits than its factorization.

1561416948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

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

The square root of 1561416948 is about 39514.7687327156. The cubic root of 1561416948 is about 1160.1290353883.

The spelling of 1561416948 in words is "one billion, five hundred sixty-one million, four hundred sixteen thousand, nine hundred forty-eight".