100448425389312 has 4320 divisors, whose sum is σ = 437675630515200. Its totient is φ = 22473709977600.

The previous prime is 100448425389241. The next prime is 100448425389313. The reversal of 100448425389312 is 213983524844001.

It is a happy number.

100448425389312 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 8 + 4 + 2 + 538 + 93 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100448425389313) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 130622139264 + ... + 130622140032.

It is an arithmetic number, because the mean of its divisors is an integer number (101313803360).

Almost surely, 2^{100448425389312} is an apocalyptic number.

100448425389312 is a gapful number since it is divisible by the number (12) 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 100448425389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218837815257600).

100448425389312 is an abundant number, since it is smaller than the sum of its proper divisors (337227205125888).

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

100448425389312 is a wasteful number, since it uses less digits than its factorization.

100448425389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 100448425389312 in words is "one hundred trillion, four hundred forty-eight billion, four hundred twenty-five million, three hundred eighty-nine thousand, three hundred twelve".