49748724480 has 1152 divisors, whose sum is σ = 210980044800. Its totient is φ = 9698476032.

The previous prime is 49748724479. The next prime is 49748724481. The reversal of 49748724480 is 8442784794.

It is an interprime number because it is at equal distance from previous prime (49748724479) and next prime (49748724481).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 49748724480.

It is not an unprimeable number, because it can be changed into a prime (49748724481) 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 127 ways as a sum of consecutive naturals, for example, 391722177 + ... + 391722303.

It is an arithmetic number, because the mean of its divisors is an integer number (183142400).

Almost surely, 2^49748724480 is an apocalyptic number.

49748724480 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 49748724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105490022400).

49748724480 is an abundant number, since it is smaller than the sum of its proper divisors (161231320320).

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

49748724480 is a wasteful number, since it uses less digits than its factorization.

49748724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 49748724480 in words is "forty-nine billion, seven hundred forty-eight million, seven hundred twenty-four thousand, four hundred eighty".