49152191256 has 576 divisors, whose sum is σ = 172092211200. Its totient is φ = 13058454528.

The previous prime is 49152191251. The next prime is 49152191269. The reversal of 49152191256 is 65219125194.

49152191256 is a `hidden beast` number, since 491 + 5 + 21 + 91 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49152191251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205657585 + ... + 205657823.

It is an arithmetic number, because the mean of its divisors is an integer number (298771200).

Almost surely, 2^49152191256 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 49152191256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86046105600).

49152191256 is an abundant number, since it is smaller than the sum of its proper divisors (122940019944).

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

49152191256 is a wasteful number, since it uses less digits than its factorization.

49152191256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 49152191256 in words is "forty-nine billion, one hundred fifty-two million, one hundred ninety-one thousand, two hundred fifty-six".