49144704962144 has 96 divisors (see below), whose sum is σ = 107059003817472. Its totient is φ = 22204735555200.

The previous prime is 49144704962117. The next prime is 49144704962147. The reversal of 49144704962144 is 44126940744194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49144704962147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3658229 + ... + 10567499.

It is an arithmetic number, because the mean of its divisors is an integer number (1115197956432).

Almost surely, 2^{49144704962144} is an apocalyptic number.

49144704962144 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 49144704962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53529501908736).

49144704962144 is an abundant number, since it is smaller than the sum of its proper divisors (57914298855328).

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

49144704962144 is a wasteful number, since it uses less digits than its factorization.

49144704962144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909481 (or 6909451 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 59.

The spelling of 49144704962144 in words is "forty-nine trillion, one hundred forty-four billion, seven hundred four million, nine hundred sixty-two thousand, one hundred forty-four".