201246415160 has 192 divisors, whose sum is σ = 529008667200. Its totient is φ = 67494850560.

The previous prime is 201246415159. The next prime is 201246415193. The reversal of 201246415160 is 61514642102.

It is a super-2 number, since 2×201246415160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242757626 + ... + 242758454.

It is an arithmetic number, because the mean of its divisors is an integer number (2755253475).

Almost surely, 2^201246415160 is an apocalyptic number.

201246415160 is a gapful number since it is divisible by the number (20) 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 201246415160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264504333600).

201246415160 is an abundant number, since it is smaller than the sum of its proper divisors (327762252040).

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

201246415160 is a wasteful number, since it uses less digits than its factorization.

201246415160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 201246415160 in words is "two hundred one billion, two hundred forty-six million, four hundred fifteen thousand, one hundred sixty".