201630354495744 has 288 divisors, whose sum is σ = 544496805135360. Its totient is φ = 66232480702464.

The previous prime is 201630354495743. The next prime is 201630354495797. The reversal of 201630354495744 is 447594453036102.

201630354495744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201630354495744² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201630354495743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14156445487 + ... + 14156459729.

It is an arithmetic number, because the mean of its divisors is an integer number (1890613906720).

Almost surely, 2^{201630354495744} is an apocalyptic number.

201630354495744 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 201630354495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272248402567680).

201630354495744 is an abundant number, since it is smaller than the sum of its proper divisors (342866450639616).

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

201630354495744 is a wasteful number, since it uses less digits than its factorization.

201630354495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15277 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 201630354495744 in words is "two hundred one trillion, six hundred thirty billion, three hundred fifty-four million, four hundred ninety-five thousand, seven hundred forty-four".