201552254414424 has 384 divisors, whose sum is σ = 565089283249920. Its totient is φ = 64860648652800.

The previous prime is 201552254414377. The next prime is 201552254414443. The reversal of 201552254414424 is 424414452255102.

201552254414424 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 5 + 225 + 4 + 414 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×201552254414424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201552254414424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96853557064 + ... + 96853559144.

It is an arithmetic number, because the mean of its divisors is an integer number (1471586675130).

Almost surely, 2^{201552254414424} is an apocalyptic number.

201552254414424 is a gapful number since it is divisible by the number (24) 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 201552254414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282544641624960).

201552254414424 is an abundant number, since it is smaller than the sum of its proper divisors (363537028835496).

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

201552254414424 is a wasteful number, since it uses less digits than its factorization.

201552254414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 201552254414424 in words is "two hundred one trillion, five hundred fifty-two billion, two hundred fifty-four million, four hundred fourteen thousand, four hundred twenty-four".