36801145068400 has 30 divisors (see below), whose sum is σ = 88414751027792. Its totient is φ = 14720458027200.

The previous prime is 36801145068397. The next prime is 36801145068403. The reversal of 36801145068400 is 486054110863.

It is an interprime number because it is at equal distance from previous prime (36801145068397) and next prime (36801145068403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36801145068403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46001430936 + ... + 46001431735.

Almost surely, 2^{36801145068400} is an apocalyptic number.

It is an amenable number.

36801145068400 is an abundant number, since it is smaller than the sum of its proper divisors (51613605959392).

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

36801145068400 is a wasteful number, since it uses less digits than its factorization.

36801145068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92002862689 (or 92002862678 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 36801145068400 in words is "thirty-six trillion, eight hundred one billion, one hundred forty-five million, sixty-eight thousand, four hundred".