70131005328384 has 2816 divisors, whose sum is σ = 294706876907520. Its totient is φ = 15885434880000.

The previous prime is 70131005328313. The next prime is 70131005328409. The reversal of 70131005328384 is 48382350013107.

70131005328384 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 100 + 532 + 8 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 255 ways as a sum of consecutive naturals, for example, 36891637834 + ... + 36891639734.

It is an arithmetic number, because the mean of its divisors is an integer number (104654430720).

Almost surely, 2^{70131005328384} 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 70131005328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147353438453760).

70131005328384 is an abundant number, since it is smaller than the sum of its proper divisors (224575871579136).

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

70131005328384 is a wasteful number, since it uses less digits than its factorization.

70131005328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 70131005328384 in words is "seventy trillion, one hundred thirty-one billion, five million, three hundred twenty-eight thousand, three hundred eighty-four".