70841145600 has 243 divisors, whose sum is σ = 253501669603. Its totient is φ = 18873937920.

The previous prime is 70841145589. The next prime is 70841145637. The reversal of 70841145600 is 654114807.

It is a happy number.

The square root of 70841145600 is 266160.

It is a perfect power (a square), and thus also a powerful number.

70841145600 is a `hidden beast` number, since 7 + 0 + 8 + 4 + 1 + 1 + 45 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36441282816 + 34399862784 = 190896^2 + 185472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63877846 + ... + 63878954.

Almost surely, 2^70841145600 is an apocalyptic number.

70841145600 is the 266160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70841145600

70841145600 is an abundant number, since it is smaller than the sum of its proper divisors (182660524003).

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

70841145600 is an equidigital number, since it uses as much as digits as its factorization.

70841145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 70841145600 by its sum of digits (36), we get a square (2550281241600 = 1596960²).

70841145600 divided by its sum of digits (36) gives a square (1967809600 = 44360²).

The spelling of 70841145600 in words is "seventy billion, eight hundred forty-one million, one hundred forty-five thousand, six hundred".