49448133504 has 640 divisors, whose sum is σ = 191516244480. Its totient is φ = 12280688640.

The previous prime is 49448133491. The next prime is 49448133541. The reversal of 49448133504 is 40533184494.

49448133504 is a `hidden beast` number, since 4 + 9 + 4 + 4 + 8 + 133 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49448133504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18360382 + ... + 18363074.

It is an arithmetic number, because the mean of its divisors is an integer number (299244132).

Almost surely, 2^49448133504 is an apocalyptic number.

49448133504 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 49448133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95758122240).

49448133504 is an abundant number, since it is smaller than the sum of its proper divisors (142068110976).

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

49448133504 is a wasteful number, since it uses less digits than its factorization.

49448133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 49448133504 in words is "forty-nine billion, four hundred forty-eight million, one hundred thirty-three thousand, five hundred four".