49135725857344 has 567 divisors, whose sum is σ = 120723067138473. Its totient is φ = 19784143411200.

The previous prime is 49135725857341. The next prime is 49135725857399. The reversal of 49135725857344 is 44375852753194.

The square root of 49135725857344 is 7009688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2367634618944 + 46768091238400 = 1538712^2 + 6838720^2 .

It is a Duffinian number.

Its product of digits (508032000) is a multiple of the sum of its prime factors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 49135725857344.

It is not an unprimeable number, because it can be changed into a prime (49135725857341) 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 80 ways as a sum of consecutive naturals, for example, 692052476829 + ... + 692052476899.

Almost surely, 2^{49135725857344} is an apocalyptic number.

49135725857344 is the 7009688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49135725857344

49135725857344 is an abundant number, since it is smaller than the sum of its proper divisors (71587341281129).

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

49135725857344 is an frugal number, since it uses more digits than its factorization.

49135725857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 164 counting only the distinct ones).

The product of its digits is 508032000, while the sum is 67.

The spelling of 49135725857344 in words is "forty-nine trillion, one hundred thirty-five billion, seven hundred twenty-five million, eight hundred fifty-seven thousand, three hundred forty-four".