101449442304 has 176 divisors, whose sum is σ = 343365417600. Its totient is φ = 28985499648.

The previous prime is 101449442293. The next prime is 101449442333. The reversal of 101449442304 is 403244944101.

It is a happy number.

101449442304 is a `hidden beast` number, since 1 + 0 + 144 + 94 + 423 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68559 + ... + 455630.

Almost surely, 2^101449442304 is an apocalyptic number.

101449442304 is a gapful number since it is divisible by the number (14) 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 101449442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171682708800).

101449442304 is an abundant number, since it is smaller than the sum of its proper divisors (241915975296).

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

101449442304 is an equidigital number, since it uses as much as digits as its factorization.

101449442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524225 (or 524201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 101449442304 in words is "one hundred one billion, four hundred forty-nine million, four hundred forty-two thousand, three hundred four".