6121605456 has 80 divisors (see below), whose sum is σ = 17788305920. Its totient is φ = 2040523488.

The previous prime is 6121605437. The next prime is 6121605467. The reversal of 6121605456 is 6545061216.

6121605456 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 605 + 45 + 6 = 666.

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 6121605456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52480 + ... + 122463.

It is an arithmetic number, because the mean of its divisors is an integer number (222353824).

Almost surely, 2^6121605456 is an apocalyptic number.

It is an amenable number.

6121605456 is an abundant number, since it is smaller than the sum of its proper divisors (11666700464).

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

6121605456 is an equidigital number, since it uses as much as digits as its factorization.

6121605456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174972 (or 174948 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6121605456 is about 78240.6892607676. The cubic root of 6121605456 is about 1829.3147878090.

The spelling of 6121605456 in words is "six billion, one hundred twenty-one million, six hundred five thousand, four hundred fifty-six".