49001756544 has 512 divisors, whose sum is σ = 162531532800. Its totient is φ = 14432256000.

The previous prime is 49001756537. The next prime is 49001756549. The reversal of 49001756544 is 44565710094.

49001756544 is a `hidden beast` number, since 4 + 90 + 0 + 17 + 5 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49001756544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49001756549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210307852 + ... + 210308084.

It is an arithmetic number, because the mean of its divisors is an integer number (317444400).

Almost surely, 2^49001756544 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 49001756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81265766400).

49001756544 is an abundant number, since it is smaller than the sum of its proper divisors (113529776256).

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

49001756544 is a wasteful number, since it uses less digits than its factorization.

49001756544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 49001756544 in words is "forty-nine billion, one million, seven hundred fifty-six thousand, five hundred forty-four".