70110613966848 has 1664 divisors, whose sum is σ = 253234715295744. Its totient is φ = 16743097958400.

The previous prime is 70110613966829. The next prime is 70110613966853. The reversal of 70110613966848 is 84866931601107.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a junction number, because it is equal to n+sod(n) for n = 70110613966791 and 70110613966800.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37472267353 + ... + 37472269223.

It is an arithmetic number, because the mean of its divisors is an integer number (152184324096).

Almost surely, 2^{70110613966848} is an apocalyptic number.

70110613966848 is a gapful number since it is divisible by the number (78) 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 70110613966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126617357647872).

70110613966848 is an abundant number, since it is smaller than the sum of its proper divisors (183124101328896).

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

70110613966848 is a wasteful number, since it uses less digits than its factorization.

70110613966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 70110613966848 in words is "seventy trillion, one hundred ten billion, six hundred thirteen million, nine hundred sixty-six thousand, eight hundred forty-eight".