1363257495936 has 1152 divisors, whose sum is σ = 5128725288960. Its totient is φ = 351510036480.

The previous prime is 1363257495893. The next prime is 1363257495983. The reversal of 1363257495936 is 6395947523631.

1363257495936 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 57 + 495 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12506949450 + ... + 12506949558.

It is an arithmetic number, because the mean of its divisors is an integer number (4452018480).

Almost surely, 2^{1363257495936} is an apocalyptic number.

1363257495936 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 1363257495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564362644480).

1363257495936 is an abundant number, since it is smaller than the sum of its proper divisors (3765467793024).

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

1363257495936 is an equidigital number, since it uses as much as digits as its factorization.

1363257495936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 169 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 63.

The spelling of 1363257495936 in words is "one trillion, three hundred sixty-three billion, two hundred fifty-seven million, four hundred ninety-five thousand, nine hundred thirty-six".