414253048608 has 1344 divisors, whose sum is σ = 1565357875200. Its totient is φ = 105211146240.

The previous prime is 414253048529. The next prime is 414253048609. The reversal of 414253048608 is 806840352414.

414253048608 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 5 + 30 + 4 + 8 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (414253048609) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5674699260 + ... + 5674699332.

It is an arithmetic number, because the mean of its divisors is an integer number (1164700800).

Almost surely, 2^414253048608 is an apocalyptic number.

414253048608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414253048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782678937600).

414253048608 is an abundant number, since it is smaller than the sum of its proper divisors (1151104826592).

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

414253048608 is a wasteful number, since it uses less digits than its factorization.

414253048608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 414253048608 in words is "four hundred fourteen billion, two hundred fifty-three million, forty-eight thousand, six hundred eight".