1561453643904 has 768 divisors, whose sum is σ = 5470168412160. Its totient is φ = 389820211200.

The previous prime is 1561453643903. The next prime is 1561453643947. The reversal of 1561453643904 is 4093463541651.

It is a super-2 number, since 2×1561453643904² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1561453643903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1045848982 + ... + 1045850474.

It is an arithmetic number, because the mean of its divisors is an integer number (7122615120).

Almost surely, 2^{1561453643904} is an apocalyptic number.

1561453643904 is a gapful number since it is divisible by the number (14) 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 1561453643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735084206080).

1561453643904 is an abundant number, since it is smaller than the sum of its proper divisors (3908714768256).

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

1561453643904 is a wasteful number, since it uses less digits than its factorization.

1561453643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 1561453643904 in words is "one trillion, five hundred sixty-one billion, four hundred fifty-three million, six hundred forty-three thousand, nine hundred four".