8454870491106 has 192 divisors, whose sum is σ = 19414467072000. Its totient is φ = 2449326926592.

The previous prime is 8454870491069. The next prime is 8454870491107. The reversal of 8454870491106 is 6011940784548.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8454870491107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813041295 + ... + 813051693.

It is an arithmetic number, because the mean of its divisors is an integer number (101117016000).

Almost surely, 2^{8454870491106} is an apocalyptic number.

8454870491106 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8454870491106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707233536000).

8454870491106 is an abundant number, since it is smaller than the sum of its proper divisors (10959596580894).

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

8454870491106 is a wasteful number, since it uses less digits than its factorization.

8454870491106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 8454870491106 in words is "eight trillion, four hundred fifty-four billion, eight hundred seventy million, four hundred ninety-one thousand, one hundred six".