36482674438144 has 208 divisors, whose sum is σ = 84295027334016. Its totient is φ = 15603027148800.

The previous prime is 36482674438129. The next prime is 36482674438159. The reversal of 36482674438144 is 44183447628463.

It is an interprime number because it is at equal distance from previous prime (36482674438129) and next prime (36482674438159).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4922769799 + ... + 4922777209.

Almost surely, 2^{36482674438144} is an apocalyptic number.

36482674438144 is a gapful number since it is divisible by the number (34) 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 36482674438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42147513667008).

36482674438144 is an abundant number, since it is smaller than the sum of its proper divisors (47812352895872).

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

36482674438144 is a wasteful number, since it uses less digits than its factorization.

36482674438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890 (or 13868 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 64.

The spelling of 36482674438144 in words is "thirty-six trillion, four hundred eighty-two billion, six hundred seventy-four million, four hundred thirty-eight thousand, one hundred forty-four".