1361810265536 has 224 divisors, whose sum is σ = 3366205299072. Its totient is φ = 533366046720.

The previous prime is 1361810265523. The next prime is 1361810265581. The reversal of 1361810265536 is 6355620181631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39136466 + ... + 39171246.

It is an arithmetic number, because the mean of its divisors is an integer number (15027702228).

Almost surely, 2^{1361810265536} is an apocalyptic number.

1361810265536 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 1361810265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683102649536).

1361810265536 is an abundant number, since it is smaller than the sum of its proper divisors (2004395033536).

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

1361810265536 is a wasteful number, since it uses less digits than its factorization.

1361810265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34967 (or 34957 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 1361810265536 in words is "one trillion, three hundred sixty-one billion, eight hundred ten million, two hundred sixty-five thousand, five hundred thirty-six".