1363405542816 has 288 divisors, whose sum is σ = 4005451658880. Its totient is φ = 404610711552.

The previous prime is 1363405542809. The next prime is 1363405542859. The reversal of 1363405542816 is 6182455043631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522576520 + ... + 522579128.

It is an arithmetic number, because the mean of its divisors is an integer number (13907818260).

Almost surely, 2^{1363405542816} is an apocalyptic number.

1363405542816 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 1363405542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002725829440).

1363405542816 is an abundant number, since it is smaller than the sum of its proper divisors (2642046116064).

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

1363405542816 is a wasteful number, since it uses less digits than its factorization.

1363405542816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 1363405542816 in words is "one trillion, three hundred sixty-three billion, four hundred five million, five hundred forty-two thousand, eight hundred sixteen".