416464587648 has 96 divisors (see below), whose sum is σ = 1198548725400. Its totient is φ = 138806645760.

The previous prime is 416464587641. The next prime is 416464587743. The reversal of 416464587648 is 846785464614.

416464587648 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 6 + 4 + 587 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416464587641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17993043 + ... + 18016173.

Almost surely, 2^416464587648 is an apocalyptic number.

416464587648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416464587648 is an abundant number, since it is smaller than the sum of its proper divisors (782084137752).

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

416464587648 is a wasteful number, since it uses less digits than its factorization.

416464587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38780 (or 38765 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 416464587648 in words is "four hundred sixteen billion, four hundred sixty-four million, five hundred eighty-seven thousand, six hundred forty-eight".