49315184640 has 360 divisors, whose sum is σ = 176993710740. Its totient is φ = 13136560128.

The previous prime is 49315184623. The next prime is 49315184647. The reversal of 49315184640 is 4648151394.

49315184640 is a `hidden beast` number, since 4 + 93 + 1 + 518 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42047963136 + 7267221504 = 205056^2 + 85248^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49315184647) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 53083696 + ... + 53084624.

Almost surely, 2^49315184640 is an apocalyptic number.

49315184640 is a gapful number since it is divisible by the number (40) 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 49315184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88496855370).

49315184640 is an abundant number, since it is smaller than the sum of its proper divisors (127678526100).

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

49315184640 is an frugal number, since it uses more digits than its factorization.

49315184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49315184640 in words is "forty-nine billion, three hundred fifteen million, one hundred eighty-four thousand, six hundred forty".