1413661563776 has 256 divisors, whose sum is σ = 3600772600320. Its totient is φ = 536757043200.

The previous prime is 1413661563763. The next prime is 1413661563779. The reversal of 1413661563776 is 6773651663141.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413661563779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615437060 + ... + 615439356.

It is an arithmetic number, because the mean of its divisors is an integer number (14065517970).

Almost surely, 2^{1413661563776} is an apocalyptic number.

1413661563776 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 1413661563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800386300160).

1413661563776 is an abundant number, since it is smaller than the sum of its proper divisors (2187111036544).

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

1413661563776 is a wasteful number, since it uses less digits than its factorization.

1413661563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3881 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 56.

The spelling of 1413661563776 in words is "one trillion, four hundred thirteen billion, six hundred sixty-one million, five hundred sixty-three thousand, seven hundred seventy-six".