102449356800 has 1008 divisors, whose sum is σ = 408524915232. Its totient is φ = 22570598400.

The previous prime is 102449356769. The next prime is 102449356811. The reversal of 102449356800 is 8653944201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234329559 + ... + 1234329641.

It is an arithmetic number, because the mean of its divisors is an integer number (405282654).

Almost surely, 2^102449356800 is an apocalyptic number.

102449356800 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 102449356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204262457616).

102449356800 is an abundant number, since it is smaller than the sum of its proper divisors (306075558432).

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

102449356800 is an equidigital number, since it uses as much as digits as its factorization.

102449356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 102449356800 in words is "one hundred two billion, four hundred forty-nine million, three hundred fifty-six thousand, eight hundred".