49343942983680 has 3072 divisors, whose sum is σ = 201021031411200. Its totient is φ = 11557907988480.

The previous prime is 49343942983649. The next prime is 49343942983693. The reversal of 49343942983680 is 8638924934394.

49343942983680 is a `hidden beast` number, since 4 + 9 + 3 + 43 + 9 + 429 + 83 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49343942983599 and 49343942983608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1147533557739 + ... + 1147533557781.

Almost surely, 2^{49343942983680} is an apocalyptic number.

49343942983680 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 49343942983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100510515705600).

49343942983680 is an abundant number, since it is smaller than the sum of its proper divisors (151677088427520).

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

49343942983680 is an equidigital number, since it uses as much as digits as its factorization.

49343942983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 49343942983680 in words is "forty-nine trillion, three hundred forty-three billion, nine hundred forty-two million, nine hundred eighty-three thousand, six hundred eighty".