1361643080448 has 144 divisors (see below), whose sum is σ = 4144129875200. Its totient is φ = 388809289728.

The previous prime is 1361643080381. The next prime is 1361643080467. The reversal of 1361643080448 is 8440803461631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1361643080397 and 1361643080406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9059286 + ... + 9208362.

Almost surely, 2^{1361643080448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361643080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072064937600).

1361643080448 is an abundant number, since it is smaller than the sum of its proper divisors (2782486794752).

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

1361643080448 is a wasteful number, since it uses less digits than its factorization.

1361643080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150802 (or 150788 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 1361643080448 in words is "one trillion, three hundred sixty-one billion, six hundred forty-three million, eighty thousand, four hundred forty-eight".