201158634144 has 576 divisors, whose sum is σ = 626059010304. Its totient is φ = 56311676928.

The previous prime is 201158634137. The next prime is 201158634151. The reversal of 201158634144 is 441436851102.

It is an interprime number because it is at equal distance from previous prime (201158634137) and next prime (201158634151).

It is a super-2 number, since 2×201158634144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1952996397 + ... + 1952996499.

It is an arithmetic number, because the mean of its divisors is an integer number (1086908004).

Almost surely, 2^201158634144 is an apocalyptic number.

201158634144 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 201158634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313029505152).

201158634144 is an abundant number, since it is smaller than the sum of its proper divisors (424900376160).

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

201158634144 is a wasteful number, since it uses less digits than its factorization.

201158634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 201158634144 in words is "two hundred one billion, one hundred fifty-eight million, six hundred thirty-four thousand, one hundred forty-four".