70145896242240 has 2016 divisors, whose sum is σ = 327138905044224. Its totient is φ = 13929018163200.

The previous prime is 70145896242211. The next prime is 70145896242259. The reversal of 70145896242240 is 4224269854107.

70145896242240 is a `hidden beast` number, since 7 + 0 + 1 + 4 + 5 + 8 + 9 + 624 + 2 + 2 + 4 + 0 = 666.

70145896242240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2044993090 + ... + 2045027390.

It is an arithmetic number, because the mean of its divisors is an integer number (162271282264).

Almost surely, 2^{70145896242240} is an apocalyptic number.

70145896242240 is a gapful number since it is divisible by the number (70) 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 70145896242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163569452522112).

70145896242240 is an abundant number, since it is smaller than the sum of its proper divisors (256993008801984).

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

70145896242240 is a wasteful number, since it uses less digits than its factorization.

70145896242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34387 (or 34348 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 70145896242240 in words is "seventy trillion, one hundred forty-five billion, eight hundred ninety-six million, two hundred forty-two thousand, two hundred forty".