1363629533728 has 288 divisors, whose sum is σ = 3582015260544. Its totient is φ = 498465792000.

The previous prime is 1363629533719. The next prime is 1363629533743. The reversal of 1363629533728 is 8273359263631.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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, 152509738 + ... + 152518678.

It is an arithmetic number, because the mean of its divisors is an integer number (12437552988).

Almost surely, 2^{1363629533728} 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 1363629533728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791007630272).

1363629533728 is an abundant number, since it is smaller than the sum of its proper divisors (2218385726816).

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

1363629533728 is a wasteful number, since it uses less digits than its factorization.

1363629533728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9309 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 58.

The spelling of 1363629533728 in words is "one trillion, three hundred sixty-three billion, six hundred twenty-nine million, five hundred thirty-three thousand, seven hundred twenty-eight".