70605018528048 has 400 divisors, whose sum is σ = 212940969120000. Its totient is φ = 22557780854784.

The previous prime is 70605018527993. The next prime is 70605018528061. The reversal of 70605018528048 is 84082581050607.

70605018528048 is a `hidden beast` number, since 7 + 0 + 6 + 0 + 501 + 8 + 52 + 80 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70605018527985 and 70605018528003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15226441186 + ... + 15226445822.

It is an arithmetic number, because the mean of its divisors is an integer number (532352422800).

Almost surely, 2^{70605018528048} 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 70605018528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106470484560000).

70605018528048 is an abundant number, since it is smaller than the sum of its proper divisors (142335950591952).

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

70605018528048 is a wasteful number, since it uses less digits than its factorization.

70605018528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 70605018528048 in words is "seventy trillion, six hundred five billion, eighteen million, five hundred twenty-eight thousand, forty-eight".