47782146048 has 624 divisors, whose sum is σ = 166923406080. Its totient is φ = 11869618176.

The previous prime is 47782146037. The next prime is 47782146073. The reversal of 47782146048 is 84064128774.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276197290 + ... + 276197462.

Almost surely, 2^47782146048 is an apocalyptic number.

47782146048 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 47782146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83461703040).

47782146048 is an abundant number, since it is smaller than the sum of its proper divisors (119141260032).

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

47782146048 is a wasteful number, since it uses less digits than its factorization.

47782146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 47782146048 in words is "forty-seven billion, seven hundred eighty-two million, one hundred forty-six thousand, forty-eight".