39134214142848 has 1536 divisors, whose sum is σ = 134617169756160. Its totient is φ = 11208637440000.

The previous prime is 39134214142811. The next prime is 39134214142901. The reversal of 39134214142848 is 84824141243193.

It is a happy number.

39134214142848 is a `hidden beast` number, since 3 + 9 + 1 + 34 + 2 + 141 + 428 + 48 = 666.

It is a super-2 number, since 2×39134214142848² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39134214142794 and 39134214142803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118230254043 + ... + 118230254373.

It is an arithmetic number, because the mean of its divisors is an integer number (87641386560).

Almost surely, 2^{39134214142848} 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 39134214142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67308584878080).

39134214142848 is an abundant number, since it is smaller than the sum of its proper divisors (95482955613312).

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

39134214142848 is a wasteful number, since it uses less digits than its factorization.

39134214142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 606 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 39134214142848 in words is "thirty-nine trillion, one hundred thirty-four billion, two hundred fourteen million, one hundred forty-two thousand, eight hundred forty-eight".