108343950492960 has 1152 divisors, whose sum is σ = 484766247813120. Its totient is φ = 21395297968128.

The previous prime is 108343950492949. The next prime is 108343950492983. The reversal of 108343950492960 is 69294059343801.

108343950492960 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 3 + 9 + 50 + 492 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206387937 + ... + 206912223.

It is an arithmetic number, because the mean of its divisors is an integer number (420804034560).

Almost surely, 2^{108343950492960} is an apocalyptic number.

108343950492960 is a gapful number since it is divisible by the number (10) 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 108343950492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242383123906560).

108343950492960 is an abundant number, since it is smaller than the sum of its proper divisors (376422297320160).

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

108343950492960 is a wasteful number, since it uses less digits than its factorization.

108343950492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524430 (or 524419 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 108343950492960 in words is "one hundred eight trillion, three hundred forty-three billion, nine hundred fifty million, four hundred ninety-two thousand, nine hundred sixty".