4198109520654 has 512 divisors, whose sum is σ = 12570329088000. Its totient is φ = 1008925175808.

The previous prime is 4198109520629. The next prime is 4198109520817. The reversal of 4198109520654 is 4560259018914.

4198109520654 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 109 + 520 + 6 + 5 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4198109520654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204985587 + ... + 205006065.

It is an arithmetic number, because the mean of its divisors is an integer number (24551424000).

Almost surely, 2^{4198109520654} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198109520654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285164544000).

4198109520654 is an abundant number, since it is smaller than the sum of its proper divisors (8372219567346).

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

4198109520654 is a wasteful number, since it uses less digits than its factorization.

4198109520654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20629 (or 20623 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 4198109520654 in words is "four trillion, one hundred ninety-eight billion, one hundred nine million, five hundred twenty thousand, six hundred fifty-four".