49092106752 has 800 divisors, whose sum is σ = 170689825152. Its totient is φ = 13926629376.

The previous prime is 49092106741. The next prime is 49092106759. The reversal of 49092106752 is 25760129094.

49092106752 is a `hidden beast` number, since 490 + 9 + 2 + 106 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49092106698 and 49092106707.

It is not an unprimeable number, because it can be changed into a prime (49092106759) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 458804683 + ... + 458804789.

Almost surely, 2^49092106752 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 49092106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344912576).

49092106752 is an abundant number, since it is smaller than the sum of its proper divisors (121597718400).

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

49092106752 is a wasteful number, since it uses less digits than its factorization.

49092106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 49092106752 in words is "forty-nine billion, ninety-two million, one hundred six thousand, seven hundred fifty-two".