201624546816 has 800 divisors, whose sum is σ = 758811575808. Its totient is φ = 51776962560.

The previous prime is 201624546727. The next prime is 201624546817. The reversal of 201624546816 is 618645426102.

It is a happy number.

201624546816 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 24 + 546 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201624546817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328914126 + ... + 328914738.

Almost surely, 2^201624546816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201624546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379405787904).

201624546816 is an abundant number, since it is smaller than the sum of its proper divisors (557187028992).

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

201624546816 is a wasteful number, since it uses less digits than its factorization.

201624546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 201624546816 in words is "two hundred one billion, six hundred twenty-four million, five hundred forty-six thousand, eight hundred sixteen".