108364782661632 has 2808 divisors, whose sum is σ = 407580854374512. Its totient is φ = 27626412441600.

The previous prime is 108364782661613. The next prime is 108364782661633. The reversal of 108364782661632 is 236166287463801.

It is a happy number.

108364782661632 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 4 + 7 + 8 + 2 + 6 + 616 + 3 + 2 = 666.

It is a super-2 number, since 2×108364782661632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 108364782661632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108364782661633) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1305599791063 + ... + 1305599791145.

It is an arithmetic number, because the mean of its divisors is an integer number (145149876914).

Almost surely, 2^{108364782661632} is an apocalyptic number.

108364782661632 is a gapful number since it is divisible by the number (12) 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 108364782661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203790427187256).

108364782661632 is an abundant number, since it is smaller than the sum of its proper divisors (299216071712880).

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

108364782661632 is a wasteful number, since it uses less digits than its factorization.

108364782661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 108364782661632 in words is "one hundred eight trillion, three hundred sixty-four billion, seven hundred eighty-two million, six hundred sixty-one thousand, six hundred thirty-two".