154061216568 has 768 divisors, whose sum is σ = 552129177600. Its totient is φ = 39235829760.

The previous prime is 154061216563. The next prime is 154061216623. The reversal of 154061216568 is 865612160451.

154061216568 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 61 + 21 + 6 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154061216563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350936493 + ... + 350936931.

It is an arithmetic number, because the mean of its divisors is an integer number (718918200).

Almost surely, 2^154061216568 is an apocalyptic number.

154061216568 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 154061216568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276064588800).

154061216568 is an abundant number, since it is smaller than the sum of its proper divisors (398067961032).

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

154061216568 is a wasteful number, since it uses less digits than its factorization.

154061216568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 154061216568 in words is "one hundred fifty-four billion, sixty-one million, two hundred sixteen thousand, five hundred sixty-eight".