201148623360 has 480 divisors, whose sum is σ = 746642033280. Its totient is φ = 49915920384.

The previous prime is 201148623349. The next prime is 201148623373. The reversal of 201148623360 is 63326841102.

201148623360 is a `hidden beast` number, since 20 + 1 + 1 + 4 + 8 + 623 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19601911 + ... + 19612169.

It is an arithmetic number, because the mean of its divisors is an integer number (1555504236).

Almost surely, 2^201148623360 is an apocalyptic number.

201148623360 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 201148623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373321016640).

201148623360 is an abundant number, since it is smaller than the sum of its proper divisors (545493409920).

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

201148623360 is a wasteful number, since it uses less digits than its factorization.

201148623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201148623360 in words is "two hundred one billion, one hundred forty-eight million, six hundred twenty-three thousand, three hundred sixty".