6261417045 has 160 divisors (see below), whose sum is σ = 12606612480. Its totient is φ = 2969965440.

The previous prime is 6261416981. The next prime is 6261417053. The reversal of 6261417045 is 5407141626.

6261417045 is a `hidden beast` number, since 626 + 14 + 17 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 6261417045 - 2⁶ = 6261416981 is a prime.

It is a super-2 number, since 2×6261417045² = 78410686822833064050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27583222 + ... + 27583448.

It is an arithmetic number, because the mean of its divisors is an integer number (78791328).

Almost surely, 2^6261417045 is an apocalyptic number.

6261417045 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6261417045 is an abundant number, since it is smaller than the sum of its proper divisors (6345195435).

6261417045 is a wasteful number, since it uses less digits than its factorization.

6261417045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6261417045 is about 79129.1162910341. The cubic root of 6261417045 is about 1843.1366871385.

The spelling of 6261417045 in words is "six billion, two hundred sixty-one million, four hundred seventeen thousand, forty-five".