649181985113376 has 1152 divisors, whose sum is σ = 2370780342927360. Its totient is φ = 165484676505600.

The previous prime is 649181985113359. The next prime is 649181985113411. The reversal of 649181985113376 is 673311589181946.

649181985113376 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 8 + 1 + 9 + 8 + 511 + 33 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4050901666 + ... + 4051061918.

It is an arithmetic number, because the mean of its divisors is an integer number (2057969047680).

Almost surely, 2^{649181985113376} is an apocalyptic number.

649181985113376 is a gapful number since it is divisible by the number (66) 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 649181985113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185390171463680).

649181985113376 is an abundant number, since it is smaller than the sum of its proper divisors (1721598357813984).

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

649181985113376 is a wasteful number, since it uses less digits than its factorization.

649181985113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160510 (or 160499 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 649181985113376 in words is "six hundred forty-nine trillion, one hundred eighty-one billion, nine hundred eighty-five million, one hundred thirteen thousand, three hundred seventy-six".