240250949651664 has 1280 divisors, whose sum is σ = 850659363840000. Its totient is φ = 64823704565760.

The previous prime is 240250949651563. The next prime is 240250949651681. The reversal of 240250949651664 is 466156949052042.

240250949651664 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 50 + 9 + 4 + 9 + 6 + 516 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22931267994 + ... + 22931278470.

It is an arithmetic number, because the mean of its divisors is an integer number (664577628000).

Almost surely, 2^{240250949651664} is an apocalyptic number.

240250949651664 is a gapful number since it is divisible by the number (24) 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 240250949651664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425329681920000).

240250949651664 is an abundant number, since it is smaller than the sum of its proper divisors (610408414188336).

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

240250949651664 is a wasteful number, since it uses less digits than its factorization.

240250949651664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 240250949651664 in words is "two hundred forty trillion, two hundred fifty billion, nine hundred forty-nine million, six hundred fifty-one thousand, six hundred sixty-four".