102368448000 has 2400 divisors, whose sum is σ = 493103939328. Its totient is φ = 20901888000.

The previous prime is 102368447989. The next prime is 102368448041. The reversal of 102368448000 is 844863201.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3302207985 + ... + 3302208015.

Almost surely, 2^102368448000 is an apocalyptic number.

102368448000 is a gapful number since it is divisible by the number (10) 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 102368448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246551969664).

102368448000 is an abundant number, since it is smaller than the sum of its proper divisors (390735491328).

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

102368448000 is an equidigital number, since it uses as much as digits as its factorization.

102368448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 102368448000 in words is "one hundred two billion, three hundred sixty-eight million, four hundred forty-eight thousand".