47462751578688 has 112 divisors (see below), whose sum is σ = 126118221687360. Its totient is φ = 15753007513600.

The previous prime is 47462751578657. The next prime is 47462751578707. The reversal of 47462751578688 is 88687515726474.

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 15 ways as a sum of consecutive naturals, for example, 73105483 + ... + 73751861.

It is an arithmetic number, because the mean of its divisors is an integer number (1126055550780).

Almost surely, 2^{47462751578688} is an apocalyptic number.

47462751578688 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 47462751578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63059110843680).

47462751578688 is an abundant number, since it is smaller than the sum of its proper divisors (78655470108672).

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

47462751578688 is a wasteful number, since it uses less digits than its factorization.

47462751578688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648036 (or 648026 counting only the distinct ones).

The product of its digits is 5057740800, while the sum is 78.

The spelling of 47462751578688 in words is "forty-seven trillion, four hundred sixty-two billion, seven hundred fifty-one million, five hundred seventy-eight thousand, six hundred eighty-eight".