10616306658048 has 1944 divisors, whose sum is σ = 41489401970016. Its totient is φ = 2592453427200.

The previous prime is 10616306657989. The next prime is 10616306658071. The reversal of 10616306658048 is 84085660361601.

10616306658048 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 3 + 0 + 6 + 6 + 580 + 48 = 666.

It is a super-2 number, since 2×10616306658048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10616306657985 and 10616306658003.

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 215 ways as a sum of consecutive naturals, for example, 23028864538 + ... + 23028864998.

It is an arithmetic number, because the mean of its divisors is an integer number (21342284964).

Almost surely, 2^{10616306658048} is an apocalyptic number.

10616306658048 is a gapful number since it is divisible by the number (18) 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 10616306658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744700985008).

10616306658048 is an abundant number, since it is smaller than the sum of its proper divisors (30873095311968).

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

10616306658048 is a wasteful number, since it uses less digits than its factorization.

10616306658048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10616306658048 in words is "ten trillion, six hundred sixteen billion, three hundred six million, six hundred fifty-eight thousand, forty-eight".