49478213736 has 240 divisors, whose sum is σ = 156926193060. Its totient is φ = 14082647040.

The previous prime is 49478213723. The next prime is 49478213749. The reversal of 49478213736 is 63731287494.

49478213736 is a `hidden beast` number, since 4 + 9 + 478 + 2 + 137 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (49478213723) and next prime (49478213749).

It can be written as a sum of positive squares in 2 ways, for example, as 49270680900 + 207532836 = 221970^2 + 14406^2 .

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

Its product of digits (6096384) is a multiple of the sum of its prime factors (1134).

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 59 ways as a sum of consecutive naturals, for example, 74853246 + ... + 74853906.

Almost surely, 2^49478213736 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 49478213736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78463096530).

49478213736 is an abundant number, since it is smaller than the sum of its proper divisors (107447979324).

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

49478213736 is a wasteful number, since it uses less digits than its factorization.

49478213736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1106 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 49478213736 in words is "forty-nine billion, four hundred seventy-eight million, two hundred thirteen thousand, seven hundred thirty-six".