49490948947968 has 1152 divisors, whose sum is σ = 168329732363520. Its totient is φ = 14504715878400.

The previous prime is 49490948947919. The next prime is 49490948947997. The reversal of 49490948947968 is 86974984909494.

49490948947968 is a `hidden beast` number, since 4 + 9 + 4 + 90 + 9 + 48 + 9 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 71 ways as a sum of consecutive naturals, for example, 29867801796 + ... + 29867803452.

Almost surely, 2^{49490948947968} is an apocalyptic number.

49490948947968 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 49490948947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84164866181760).

49490948947968 is an abundant number, since it is smaller than the sum of its proper divisors (118838783415552).

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

49490948947968 is an equidigital number, since it uses as much as digits as its factorization.

49490948947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 40633270272, while the sum is 90.

The spelling of 49490948947968 in words is "forty-nine trillion, four hundred ninety billion, nine hundred forty-eight million, nine hundred forty-seven thousand, nine hundred sixty-eight".