47712142649472 has 256 divisors, whose sum is σ = 147825463296000. Its totient is φ = 13629356504064.

The previous prime is 47712142649461. The next prime is 47712142649491. The reversal of 47712142649472 is 27494624121774.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724778223 + ... + 724844049.

It is an arithmetic number, because the mean of its divisors is an integer number (577443216000).

Almost surely, 2^{47712142649472} is an apocalyptic number.

47712142649472 is a gapful number since it is divisible by the number (42) 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 47712142649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73912731648000).

47712142649472 is an abundant number, since it is smaller than the sum of its proper divisors (100113320646528).

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

47712142649472 is an equidigital number, since it uses as much as digits as its factorization.

47712142649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71368 (or 71342 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 60.

The spelling of 47712142649472 in words is "forty-seven trillion, seven hundred twelve billion, one hundred forty-two million, six hundred forty-nine thousand, four hundred seventy-two".