10468718346240 has 2176 divisors, whose sum is σ = 47158381117440. Its totient is φ = 2158189608960.

The previous prime is 10468718346239. The next prime is 10468718346263. The reversal of 10468718346240 is 4264381786401.

10468718346240 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 8 + 7 + 1 + 8 + 3 + 4 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82430853057 + ... + 82430853183.

Almost surely, 2^{10468718346240} is an apocalyptic number.

10468718346240 is a gapful number since it is divisible by the number (10) 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 10468718346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579190558720).

10468718346240 is an abundant number, since it is smaller than the sum of its proper divisors (36689662771200).

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

10468718346240 is an frugal number, since it uses more digits than its factorization.

10468718346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10468718346240 in words is "ten trillion, four hundred sixty-eight billion, seven hundred eighteen million, three hundred forty-six thousand, two hundred forty".