6261411456 has 80 divisors (see below), whose sum is σ = 18633889890. Its totient is φ = 2087133696.

The previous prime is 6261411437. The next prime is 6261411461. The reversal of 6261411456 is 6541141626.

6261411456 is a `hidden beast` number, since 62 + 6 + 141 + 1 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4171093056 + 2090318400 = 64584^2 + 45720^2 .

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 6261411456.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 291591 + ... + 312326.

Almost surely, 2^6261411456 is an apocalyptic number.

It is an amenable number.

6261411456 is an abundant number, since it is smaller than the sum of its proper divisors (12372478434).

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

6261411456 is an equidigital number, since it uses as much as digits as its factorization.

6261411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603943 (or 603922 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6261411456 is about 79129.0809753279. The cubic root of 6261411456 is about 1843.1361387379.

The spelling of 6261411456 in words is "six billion, two hundred sixty-one million, four hundred eleven thousand, four hundred fifty-six".