870466608144 has 405 divisors, whose sum is σ = 2942598492093. Its totient is φ = 239501751552.

The previous prime is 870466608107. The next prime is 870466608229. The reversal of 870466608144 is 441806664078.

The square root of 870466608144 is 932988.

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

It can be written as a sum of positive squares in only one way, i.e., 456451574544 + 414015033600 = 675612^2 + 643440^2 .

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 80 ways as a sum of consecutive naturals, for example, 2272758577 + ... + 2272758959.

Almost surely, 2^870466608144 is an apocalyptic number.

870466608144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

870466608144 is the 932988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870466608144

870466608144 is an abundant number, since it is smaller than the sum of its proper divisors (2072131883949).

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

870466608144 is a wasteful number, since it uses less digits than its factorization.

870466608144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 870466608144 in words is "eight hundred seventy billion, four hundred sixty-six million, six hundred eight thousand, one hundred forty-four".