201559854144 has 448 divisors, whose sum is σ = 632238105600. Its totient is φ = 56020377600.

The previous prime is 201559854101. The next prime is 201559854157. The reversal of 201559854144 is 441458955102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 201559854093 and 201559854102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164002522 + ... + 164003750.

Almost surely, 2^201559854144 is an apocalyptic number.

201559854144 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 201559854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316119052800).

201559854144 is an abundant number, since it is smaller than the sum of its proper divisors (430678251456).

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

201559854144 is a wasteful number, since it uses less digits than its factorization.

201559854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 201559854144 in words is "two hundred one billion, five hundred fifty-nine million, eight hundred fifty-four thousand, one hundred forty-four".