39048045833088 has 256 divisors, whose sum is σ = 119255745960000. Its totient is φ = 12563415760896.

The previous prime is 39048045833087. The next prime is 39048045833099. The reversal of 39048045833088 is 88033854084093.

39048045833088 is a `hidden beast` number, since 3 + 9 + 0 + 48 + 0 + 4 + 583 + 3 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×39048045833088² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39048045833087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344012248 + ... + 344125736.

Almost surely, 2^{39048045833088} 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 39048045833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627872980000).

39048045833088 is an abundant number, since it is smaller than the sum of its proper divisors (80207700126912).

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

39048045833088 is a wasteful number, since it uses less digits than its factorization.

39048045833088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116974 (or 116956 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 39048045833088 in words is "thirty-nine trillion, forty-eight billion, forty-five million, eight hundred thirty-three thousand, eighty-eight".