48971307478464 has 1680 divisors, whose sum is σ = 182617170972192. Its totient is φ = 12890277937152.

The previous prime is 48971307478439. The next prime is 48971307478469. The reversal of 48971307478464 is 46487470317984.

48971307478464 is a `hidden beast` number, since 4 + 8 + 97 + 1 + 3 + 0 + 7 + 4 + 78 + 464 = 666.

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 = 48971307478392 and 48971307478401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48971307478469) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 55839574794 + ... + 55839575670.

Almost surely, 2^{48971307478464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48971307478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91308585486096).

48971307478464 is an abundant number, since it is smaller than the sum of its proper divisors (133645863493728).

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

48971307478464 is a wasteful number, since it uses less digits than its factorization.

48971307478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 48971307478464 in words is "forty-eight trillion, nine hundred seventy-one billion, three hundred seven million, four hundred seventy-eight thousand, four hundred sixty-four".