6454516249476 has 405 divisors, whose sum is σ = 18172934466687. Its totient is φ = 1997500901760.

The previous prime is 6454516249459. The next prime is 6454516249481. The reversal of 6454516249476 is 6749426154546.

The square root of 6454516249476 is 2540574.

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

6454516249476 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 516 + 2 + 49 + 4 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227614868100 + 6226901381376 = 477090^2 + 2495376^2 .

Its product of digits (174182400) is a multiple of the sum of its prime factors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41111568390 + ... + 41111568546.

Almost surely, 2^{6454516249476} is an apocalyptic number.

6454516249476 is the 2540574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454516249476

6454516249476 is an abundant number, since it is smaller than the sum of its proper divisors (11718418217211).

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

6454516249476 is a wasteful number, since it uses less digits than its factorization.

6454516249476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 6454516249476 in words is "six trillion, four hundred fifty-four billion, five hundred sixteen million, two hundred forty-nine thousand, four hundred seventy-six".