49608619632 has 540 divisors, whose sum is σ = 175142665152. Its totient is φ = 13047091200.

The previous prime is 49608619631. The next prime is 49608619637. The reversal of 49608619632 is 23691680694.

49608619632 is a `hidden beast` number, since 496 + 0 + 8 + 61 + 96 + 3 + 2 = 666.

It is a super-3 number, since 3×49608619632³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49608619631) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50058657 + ... + 50059647.

Almost surely, 2^49608619632 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 49608619632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87571332576).

49608619632 is an abundant number, since it is smaller than the sum of its proper divisors (125534045520).

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

49608619632 is a wasteful number, since it uses less digits than its factorization.

49608619632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 49608619632 in words is "forty-nine billion, six hundred eight million, six hundred nineteen thousand, six hundred thirty-two".