10654214616 has 96 divisors (see below), whose sum is σ = 29445436800. Its totient is φ = 3479224320.

The previous prime is 10654214611. The next prime is 10654214647. The reversal of 10654214616 is 61641245601.

10654214616 is a `hidden beast` number, since 10 + 6 + 5 + 4 + 21 + 4 + 616 = 666.

10654214616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10654214616² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10654214611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124025 + ... + 1133463.

It is an arithmetic number, because the mean of its divisors is an integer number (306723300).

Almost surely, 2^10654214616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10654214616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722718400).

10654214616 is an abundant number, since it is smaller than the sum of its proper divisors (18791222184).

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

10654214616 is a wasteful number, since it uses less digits than its factorization.

10654214616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10654214616 in words is "ten billion, six hundred fifty-four million, two hundred fourteen thousand, six hundred sixteen".