38149114140 has 144 divisors (see below), whose sum is σ = 117525635136. Its totient is φ = 10015488000.

The previous prime is 38149114117. The next prime is 38149114193. The reversal of 38149114140 is 4141194183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38149114095 and 38149114104.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3065130 + ... + 3077550.

It is an arithmetic number, because the mean of its divisors is an integer number (816150244).

Almost surely, 2^38149114140 is an apocalyptic number.

38149114140 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 38149114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58762817568).

38149114140 is an abundant number, since it is smaller than the sum of its proper divisors (79376520996).

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

38149114140 is a wasteful number, since it uses less digits than its factorization.

38149114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 38149114140 in words is "thirty-eight billion, one hundred forty-nine million, one hundred fourteen thousand, one hundred forty".