649818961593984 has 384 divisors, whose sum is σ = 2335792063812480. Its totient is φ = 168822900449280.

The previous prime is 649818961593983. The next prime is 649818961594063. The reversal of 649818961593984 is 489395169818946.

It is a happy number.

649818961593984 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 1 + 8 + 9 + 6 + 1 + 593 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 649818961593894 and 649818961593903.

It is not an unprimeable number, because it can be changed into a prime (649818961593983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39234987 + ... + 53282474.

It is an arithmetic number, because the mean of its divisors is an integer number (6082791832845).

Almost surely, 2^{649818961593984} is an apocalyptic number.

649818961593984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

649818961593984 is an abundant number, since it is smaller than the sum of its proper divisors (1685973102218496).

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

649818961593984 is a wasteful number, since it uses less digits than its factorization.

649818961593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92517568 (or 92517553 counting only the distinct ones).

The product of its digits is 29023764480, while the sum is 90.

The spelling of 649818961593984 in words is "six hundred forty-nine trillion, eight hundred eighteen billion, nine hundred sixty-one million, five hundred ninety-three thousand, nine hundred eighty-four".