36224348160 has 1664 divisors, whose sum is σ = 169093693440. Its totient is φ = 6370099200.

The previous prime is 36224348113. The next prime is 36224348183. The reversal of 36224348160 is 6184342263.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1168527345 + ... + 1168527375.

Almost surely, 2^36224348160 is an apocalyptic number.

36224348160 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 36224348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84546846720).

36224348160 is an abundant number, since it is smaller than the sum of its proper divisors (132869345280).

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

36224348160 is a wasteful number, since it uses less digits than its factorization.

36224348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 36224348160 in words is "thirty-six billion, two hundred twenty-four million, three hundred forty-eight thousand, one hundred sixty".