49301703144960 has 480 divisors, whose sum is σ = 184966524322272. Its totient is φ = 11169225768960.

The previous prime is 49301703144959. The next prime is 49301703144979. The reversal of 49301703144960 is 6944130710394.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41944470 + ... + 43103850.

Almost surely, 2^{49301703144960} is an apocalyptic number.

49301703144960 is a gapful number since it is divisible by the number (40) 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 49301703144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92483262161136).

49301703144960 is an abundant number, since it is smaller than the sum of its proper divisors (135664821177312).

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

49301703144960 is a wasteful number, since it uses less digits than its factorization.

49301703144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159534 (or 1159511 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 49301703144960 in words is "forty-nine trillion, three hundred one billion, seven hundred three million, one hundred forty-four thousand, nine hundred sixty".