201307467648 has 384 divisors, whose sum is σ = 651732019200. Its totient is φ = 53920235520.

The previous prime is 201307467611. The next prime is 201307467667. The reversal of 201307467648 is 846764703102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 201307467597 and 201307467606.

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, 372102258 + ... + 372102798.

It is an arithmetic number, because the mean of its divisors is an integer number (1697218800).

Almost surely, 2^201307467648 is an apocalyptic number.

201307467648 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 201307467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325866009600).

201307467648 is an abundant number, since it is smaller than the sum of its proper divisors (450424551552).

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

201307467648 is a wasteful number, since it uses less digits than its factorization.

201307467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 201307467648 in words is "two hundred one billion, three hundred seven million, four hundred sixty-seven thousand, six hundred forty-eight".