10653416616645 has 192 divisors, whose sum is σ = 21707037870336. Its totient is φ = 4776164720640.

The previous prime is 10653416616587. The next prime is 10653416616649. The reversal of 10653416616645 is 54661661435601.

10653416616645 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 4 + 16 + 616 + 6 + 4 + 5 = 666.

It is not a de Polignac number, because 10653416616645 - 2¹⁴ = 10653416600261 is a prime.

It is a super-2 number, since 2×10653416616645² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10653416616591 and 10653416616600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653416616649) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111779302 + ... + 111874568.

It is an arithmetic number, because the mean of its divisors is an integer number (113057488908).

Almost surely, 2^{10653416616645} is an apocalyptic number.

10653416616645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10653416616645 is an abundant number, since it is smaller than the sum of its proper divisors (11053621253691).

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

10653416616645 is a wasteful number, since it uses less digits than its factorization.

10653416616645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95540 (or 95537 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 10653416616645 in words is "ten trillion, six hundred fifty-three billion, four hundred sixteen million, six hundred sixteen thousand, six hundred forty-five".