49459449312 has 768 divisors, whose sum is σ = 185397811200. Its totient is φ = 12481413120.

The previous prime is 49459449241. The next prime is 49459449329. The reversal of 49459449312 is 21394495494.

49459449312 is a `hidden beast` number, since 4 + 9 + 4 + 594 + 49 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215980014 + ... + 215980242.

It is an arithmetic number, because the mean of its divisors is an integer number (241403400).

Almost surely, 2^49459449312 is an apocalyptic number.

49459449312 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 49459449312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92698905600).

49459449312 is an abundant number, since it is smaller than the sum of its proper divisors (135938361888).

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

49459449312 is a wasteful number, since it uses less digits than its factorization.

49459449312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 49459449312 in words is "forty-nine billion, four hundred fifty-nine million, four hundred forty-nine thousand, three hundred twelve".