39148342814628 has 96 divisors (see below), whose sum is σ = 102181319116800. Its totient is φ = 12961360758528.

The previous prime is 39148342814597. The next prime is 39148342814629. The reversal of 39148342814628 is 82641824384193.

39148342814628 is a `hidden beast` number, since 3 + 9 + 1 + 48 + 3 + 428 + 146 + 28 = 666.

39148342814628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39148342814629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43932733 + ... + 44814971.

It is an arithmetic number, because the mean of its divisors is an integer number (1064388740800).

Almost surely, 2^{39148342814628} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39148342814628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51090659558400).

39148342814628 is an abundant number, since it is smaller than the sum of its proper divisors (63032976302172).

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

39148342814628 is a wasteful number, since it uses less digits than its factorization.

39148342814628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885026 (or 885018 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 39148342814628 in words is "thirty-nine trillion, one hundred forty-eight billion, three hundred forty-two million, eight hundred fourteen thousand, six hundred twenty-eight".