36248344512480 has 480 divisors, whose sum is σ = 134799560501760. Its totient is φ = 9147946429440.

The previous prime is 36248344512473. The next prime is 36248344512491. The reversal of 36248344512480 is 8421544384263.

It is a happy number.

36248344512480 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 8 + 3 + 44 + 512 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 238037965 + ... + 238190195.

It is an arithmetic number, because the mean of its divisors is an integer number (280832417712).

Almost surely, 2^{36248344512480} is an apocalyptic number.

36248344512480 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 36248344512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67399780250880).

36248344512480 is an abundant number, since it is smaller than the sum of its proper divisors (98551215989280).

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

36248344512480 is a wasteful number, since it uses less digits than its factorization.

36248344512480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153244 (or 153227 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 36248344512480 in words is "thirty-six trillion, two hundred forty-eight billion, three hundred forty-four million, five hundred twelve thousand, four hundred eighty".