601905449664 has 112 divisors (see below), whose sum is σ = 1769706188800. Its totient is φ = 200610701568.

The previous prime is 601905449653. The next prime is 601905449683. The reversal of 601905449664 is 466944509106.

601905449664 is a `hidden beast` number, since 6 + 0 + 1 + 9 + 0 + 544 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 601905449664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19197969 + ... + 19229295.

Almost surely, 2^601905449664 is an apocalyptic number.

601905449664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

601905449664 is an abundant number, since it is smaller than the sum of its proper divisors (1167800739136).

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

601905449664 is a wasteful number, since it uses less digits than its factorization.

601905449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42467 (or 42451 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 601905449664 in words is "six hundred one billion, nine hundred five million, four hundred forty-nine thousand, six hundred sixty-four".