101448806400 has 702 divisors, whose sum is σ = 379823157272. Its totient is φ = 26873856000.

The previous prime is 101448806377. The next prime is 101448806423. The reversal of 101448806400 is 4608844101.

101448806400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 8 + 8 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101448806377) and next prime (101448806423).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 671846325 + ... + 671846475.

Almost surely, 2^101448806400 is an apocalyptic number.

101448806400 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 101448806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189911578636).

101448806400 is an abundant number, since it is smaller than the sum of its proper divisors (278374350872).

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

101448806400 is an frugal number, since it uses more digits than its factorization.

101448806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 101448806400 in words is "one hundred one billion, four hundred forty-eight million, eight hundred six thousand, four hundred".