1361048736 has 96 divisors (see below), whose sum is σ = 3924426240. Its totient is φ = 411105024.

The previous prime is 1361048699. The next prime is 1361048743. The reversal of 1361048736 is 6378401631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1361048694 and 1361048703.

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, 25731 + ... + 58173.

It is an arithmetic number, because the mean of its divisors is an integer number (40879440).

Almost surely, 2^1361048736 is an apocalyptic number.

1361048736 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 1361048736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962213120).

1361048736 is an abundant number, since it is smaller than the sum of its proper divisors (2563377504).

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

1361048736 is a wasteful number, since it uses less digits than its factorization.

1361048736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32498 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1361048736 is about 36892.3940128585. The cubic root of 1361048736 is about 1108.2163644074.

The spelling of 1361048736 in words is "one billion, three hundred sixty-one million, forty-eight thousand, seven hundred thirty-six".