36345815040000 has 1360 divisors, whose sum is σ = 130190471313408. Its totient is φ = 8984199168000.

The previous prime is 36345815039993. The next prime is 36345815040011. The reversal of 36345815040000 is 4051854363.

It is a tau number, because it is divible by the number of its divisors (1360).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 265297919932 + ... + 265297920068.

Almost surely, 2^{36345815040000} is an apocalyptic number.

36345815040000 is a gapful number since it is divisible by the number (30) 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 36345815040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65095235656704).

36345815040000 is an abundant number, since it is smaller than the sum of its proper divisors (93844656273408).

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

36345815040000 is an equidigital number, since it uses as much as digits as its factorization.

36345815040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 36345815040000 its reverse (4051854363), we get a palindrome (36349866894363).

The spelling of 36345815040000 in words is "thirty-six trillion, three hundred forty-five billion, eight hundred fifteen million, forty thousand".