49224172825344 has 432 divisors, whose sum is σ = 151761139770240. Its totient is φ = 14114418278400.

The previous prime is 49224172825279. The next prime is 49224172825381. The reversal of 49224172825344 is 44352827142294.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513130359 + ... + 1513162889.

Almost surely, 2^{49224172825344} is an apocalyptic number.

49224172825344 is a gapful number since it is divisible by the number (44) 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 49224172825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880569885120).

49224172825344 is an abundant number, since it is smaller than the sum of its proper divisors (102536966944896).

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

49224172825344 is a wasteful number, since it uses less digits than its factorization.

49224172825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33448 (or 33423 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 49224172825344 in words is "forty-nine trillion, two hundred twenty-four billion, one hundred seventy-two million, eight hundred twenty-five thousand, three hundred forty-four".