49544244667008 has 640 divisors, whose sum is σ = 181525515937920. Its totient is φ = 13062483615744.

The previous prime is 49544244667007. The next prime is 49544244667033. The reversal of 49544244667008 is 80076644244594.

49544244667008 is a `hidden beast` number, since 4 + 9 + 544 + 24 + 4 + 6 + 67 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49544244667007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4012648291 + ... + 4012660637.

It is an arithmetic number, because the mean of its divisors is an integer number (283633618653).

Almost surely, 2^{49544244667008} is an apocalyptic number.

49544244667008 is a gapful number since it is divisible by the number (48) 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 49544244667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90762757968960).

49544244667008 is an abundant number, since it is smaller than the sum of its proper divisors (131981271270912).

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

49544244667008 is a wasteful number, since it uses less digits than its factorization.

49544244667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16646 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 49544244667008 in words is "forty-nine trillion, five hundred forty-four billion, two hundred forty-four million, six hundred sixty-seven thousand, eight".