49434617232 has 1440 divisors, whose sum is σ = 206619918336. Its totient is φ = 10674892800.

The previous prime is 49434617227. The next prime is 49434617251. The reversal of 49434617232 is 23271643494.

49434617232 is a `hidden beast` number, since 4 + 9 + 4 + 3 + 4 + 617 + 23 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1336070718 + ... + 1336070754.

Almost surely, 2^49434617232 is an apocalyptic number.

49434617232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49434617232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103309959168).

49434617232 is an abundant number, since it is smaller than the sum of its proper divisors (157185301104).

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

49434617232 is a wasteful number, since it uses less digits than its factorization.

49434617232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

It can be divided in two parts, 49434 and 617232, that added together give a palindrome (666666).

The spelling of 49434617232 in words is "forty-nine billion, four hundred thirty-four million, six hundred seventeen thousand, two hundred thirty-two".