108466143552 has 280 divisors, whose sum is σ = 348781725600. Its totient is φ = 33131234304.

The previous prime is 108466143551. The next prime is 108466143553. The reversal of 108466143552 is 255341664801.

108466143552 is a `hidden beast` number, since 1 + 0 + 84 + 6 + 6 + 14 + 3 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (108466143551) and next prime (108466143553).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 108466143498 and 108466143507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108466143551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9361699 + ... + 9373277.

It is an arithmetic number, because the mean of its divisors is an integer number (1245649020).

Almost surely, 2^108466143552 is an apocalyptic number.

108466143552 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 108466143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174390862800).

108466143552 is an abundant number, since it is smaller than the sum of its proper divisors (240315582048).

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

108466143552 is a wasteful number, since it uses less digits than its factorization.

108466143552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11736 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 108466143552 in words is "one hundred eight billion, four hundred sixty-six million, one hundred forty-three thousand, five hundred fifty-two".