201147018545088 has 1344 divisors, whose sum is σ = 766309789679616. Its totient is φ = 50785989120000.

The previous prime is 201147018545087. The next prime is 201147018545089. The reversal of 201147018545088 is 880545810741102.

201147018545088 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 7 + 0 + 18 + 545 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (201147018545087) and next prime (201147018545089).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201147018545087) 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, 85558067113 + ... + 85558069463.

It is an arithmetic number, because the mean of its divisors is an integer number (570170974464).

Almost surely, 2^{201147018545088} is an apocalyptic number.

201147018545088 is a gapful number since it is divisible by the number (28) 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 201147018545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383154894839808).

201147018545088 is an abundant number, since it is smaller than the sum of its proper divisors (565162771134528).

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

201147018545088 is a wasteful number, since it uses less digits than its factorization.

201147018545088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 201147018545088 in words is "two hundred one trillion, one hundred forty-seven billion, eighteen million, five hundred forty-five thousand, eighty-eight".