108216262653408 has 4608 divisors, whose sum is σ = 462861858816000. Its totient is φ = 24199369850880.

The previous prime is 108216262653403. The next prime is 108216262653431. The reversal of 108216262653408 is 804356262612801.

108216262653408 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 6 + 2 + 626 + 5 + 3 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108216262653403) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 402290939098 + ... + 402290939366.

It is an arithmetic number, because the mean of its divisors is an integer number (100447452000).

Almost surely, 2^{108216262653408} is an apocalyptic number.

108216262653408 is a gapful number since it is divisible by the number (18) 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 108216262653408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231430929408000).

108216262653408 is an abundant number, since it is smaller than the sum of its proper divisors (354645596162592).

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

108216262653408 is a wasteful number, since it uses less digits than its factorization.

108216262653408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 108216262653408 in words is "one hundred eight trillion, two hundred sixteen billion, two hundred sixty-two million, six hundred fifty-three thousand, four hundred eight".