74175384144 has 160 divisors (see below), whose sum is σ = 202035104640. Its totient is φ = 23424768000.

The previous prime is 74175384109. The next prime is 74175384163. The reversal of 74175384144 is 44148357147.

It is a happy number.

It is a super-2 number, since 2×74175384144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 74175384093 and 74175384102.

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 31 ways as a sum of consecutive naturals, for example, 10938547 + ... + 10945325.

It is an arithmetic number, because the mean of its divisors is an integer number (1262719404).

Almost surely, 2^74175384144 is an apocalyptic number.

74175384144 is a gapful number since it is divisible by the number (74) 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 74175384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101017552320).

74175384144 is an abundant number, since it is smaller than the sum of its proper divisors (127859720496).

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

74175384144 is a wasteful number, since it uses less digits than its factorization.

74175384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6983 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The spelling of 74175384144 in words is "seventy-four billion, one hundred seventy-five million, three hundred eighty-four thousand, one hundred forty-four".