49000081536 has 576 divisors, whose sum is σ = 174481047000. Its totient is φ = 13135675392.

The previous prime is 49000081523. The next prime is 49000081547. The reversal of 49000081536 is 63518000094.

49000081536 is a `hidden beast` number, since 49 + 0 + 0 + 0 + 0 + 81 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48805646400 + 194435136 = 220920^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 49000081536.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60568300 + ... + 60569108.

Almost surely, 2^49000081536 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 49000081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87240523500).

49000081536 is an abundant number, since it is smaller than the sum of its proper divisors (125480965464).

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

49000081536 is a wasteful number, since it uses less digits than its factorization.

49000081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 490000 and 81536, that added together give a square (571536 = 756²).

The spelling of 49000081536 in words is "forty-nine billion, eighty-one thousand, five hundred thirty-six".