108645920538624 has 1536 divisors, whose sum is σ = 405874385280000. Its totient is φ = 28005334253568.

The previous prime is 108645920538611. The next prime is 108645920538667. The reversal of 108645920538624 is 426835029546801.

108645920538624 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 5 + 92 + 0 + 538 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781625327547 + ... + 781625327685.

It is an arithmetic number, because the mean of its divisors is an integer number (264241136250).

Almost surely, 2^{108645920538624} is an apocalyptic number.

108645920538624 is a gapful number since it is divisible by the number (14) 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 108645920538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202937192640000).

108645920538624 is an abundant number, since it is smaller than the sum of its proper divisors (297228464741376).

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

108645920538624 is an frugal number, since it uses more digits than its factorization.

108645920538624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 108645920538624 in words is "one hundred eight trillion, six hundred forty-five billion, nine hundred twenty million, five hundred thirty-eight thousand, six hundred twenty-four".