108540902486016 has 2496 divisors, whose sum is σ = 437454443520000. Its totient is φ = 25824700661760.

The previous prime is 108540902485987. The next prime is 108540902486063. The reversal of 108540902486016 is 610684209045801.

108540902486016 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 0 + 9 + 0 + 24 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×108540902486016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 286387605315 + ... + 286387605693.

Almost surely, 2^{108540902486016} is an apocalyptic number.

108540902486016 is a gapful number since it is divisible by the number (16) 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 108540902486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218727221760000).

108540902486016 is an abundant number, since it is smaller than the sum of its proper divisors (328913541033984).

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

108540902486016 is a wasteful number, since it uses less digits than its factorization.

108540902486016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 108540902486016 in words is "one hundred eight trillion, five hundred forty billion, nine hundred two million, four hundred eighty-six thousand, sixteen".