9460781138016 has 336 divisors, whose sum is σ = 30125041279200. Its totient is φ = 2906093998080.

The previous prime is 9460781137987. The next prime is 9460781138057. The reversal of 9460781138016 is 6108311870649.

9460781138016 is a `hidden beast` number, since 9 + 4 + 607 + 8 + 1 + 13 + 8 + 0 + 16 = 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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 181629096 + ... + 181681176.

It is an arithmetic number, because the mean of its divisors is an integer number (89657860950).

Almost surely, 2^{9460781138016} is an apocalyptic number.

9460781138016 is a gapful number since it is divisible by the number (96) 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 9460781138016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062520639600).

9460781138016 is an abundant number, since it is smaller than the sum of its proper divisors (20664260141184).

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

9460781138016 is a wasteful number, since it uses less digits than its factorization.

9460781138016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52721 (or 52698 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 9460781138016 in words is "nine trillion, four hundred sixty billion, seven hundred eighty-one million, one hundred thirty-eight thousand, sixteen".