102335643648 has 648 divisors, whose sum is σ = 371483893872. Its totient is φ = 27518828544.

The previous prime is 102335643623. The next prime is 102335643649. The reversal of 102335643648 is 846346533201.

102335643648 is a `hidden beast` number, since 1 + 0 + 23 + 3 + 564 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102335643649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6019743736 + ... + 6019743752.

It is an arithmetic number, because the mean of its divisors is an integer number (573277614).

Almost surely, 2^102335643648 is an apocalyptic number.

102335643648 is a gapful number since it is divisible by the number (18) 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 102335643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185741946936).

102335643648 is an abundant number, since it is smaller than the sum of its proper divisors (269148250224).

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

102335643648 is an frugal number, since it uses more digits than its factorization.

102335643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 102335643648 in words is "one hundred two billion, three hundred thirty-five million, six hundred forty-three thousand, six hundred forty-eight".