74149107102 has 64 divisors (see below), whose sum is σ = 188569359360. Its totient is φ = 21156865632.

The previous prime is 74149107061. The next prime is 74149107107. The reversal of 74149107102 is 20170194147.

It is a super-5 number, since 5×74149107102⁵ (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74149107107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148848 + ... + 412860.

It is an arithmetic number, because the mean of its divisors is an integer number (2946396240).

Almost surely, 2^74149107102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74149107102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94284679680).

74149107102 is an abundant number, since it is smaller than the sum of its proper divisors (114420252258).

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

74149107102 is a wasteful number, since it uses less digits than its factorization.

74149107102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264774 (or 264768 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 74149107102 in words is "seventy-four billion, one hundred forty-nine million, one hundred seven thousand, one hundred two".