36338395484160 has 1872 divisors, whose sum is σ = 160381287144000. Its totient is φ = 7525422858240.

The previous prime is 36338395484159. The next prime is 36338395484161. The reversal of 36338395484160 is 6148459383363.

36338395484160 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 8 + 3 + 95 + 484 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (36338395484159) and next prime (36338395484161).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36338395484161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49574891154 + ... + 49574891886.

It is an arithmetic number, because the mean of its divisors is an integer number (85673764500).

Almost surely, 2^{36338395484160} is an apocalyptic number.

36338395484160 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 36338395484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80190643572000).

36338395484160 is an abundant number, since it is smaller than the sum of its proper divisors (124042891659840).

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

36338395484160 is a wasteful number, since it uses less digits than its factorization.

36338395484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 36338395484160 in words is "thirty-six trillion, three hundred thirty-eight billion, three hundred ninety-five million, four hundred eighty-four thousand, one hundred sixty".