1561148570016 has 288 divisors, whose sum is σ = 5328266711040. Its totient is φ = 440395128576.

The previous prime is 1561148569993. The next prime is 1561148570017. The reversal of 1561148570016 is 6100758411651.

1561148570016 is a `hidden beast` number, since 1 + 5 + 61 + 1 + 4 + 8 + 570 + 0 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1561148570017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4118605 + ... + 4481651.

It is an arithmetic number, because the mean of its divisors is an integer number (18500926080).

Almost surely, 2^{1561148570016} is an apocalyptic number.

1561148570016 is a gapful number since it is divisible by the number (16) 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 1561148570016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664133355520).

1561148570016 is an abundant number, since it is smaller than the sum of its proper divisors (3767118141024).

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

1561148570016 is an equidigital number, since it uses as much as digits as its factorization.

1561148570016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363158 (or 363138 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1561148570016 in words is "one trillion, five hundred sixty-one billion, one hundred forty-eight million, five hundred seventy thousand, sixteen".