8212611456 has 96 divisors (see below), whose sum is σ = 27008763600. Its totient is φ = 2346458112.

The previous prime is 8212611391. The next prime is 8212611461. The reversal of 8212611456 is 6541162128.

It is a happy number.

8212611456 is a `hidden beast` number, since 82 + 126 + 1 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8212611456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501151 + ... + 517278.

Almost surely, 2^8212611456 is an apocalyptic number.

It is an amenable number.

8212611456 is an abundant number, since it is smaller than the sum of its proper divisors (18796152144).

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

8212611456 is a wasteful number, since it uses less digits than its factorization.

8212611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018456 (or 1018441 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 8212611456 is about 90623.4597441523. The cubic root of 8212611456 is about 2017.5629414267.

The spelling of 8212611456 in words is "eight billion, two hundred twelve million, six hundred eleven thousand, four hundred fifty-six".