49630591296 has 1008 divisors, whose sum is σ = 187854945600. Its totient is φ = 12727756800.

The previous prime is 49630591291. The next prime is 49630591313. The reversal of 49630591296 is 69219503694.

49630591296 is a `hidden beast` number, since 49 + 6 + 3 + 0 + 591 + 2 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49630591291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1600986801 + ... + 1600986831.

Almost surely, 2^49630591296 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 49630591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93927472800).

49630591296 is an abundant number, since it is smaller than the sum of its proper divisors (138224354304).

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

49630591296 is a wasteful number, since it uses less digits than its factorization.

49630591296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 49630591296 in words is "forty-nine billion, six hundred thirty million, five hundred ninety-one thousand, two hundred ninety-six".