100312814448 has 560 divisors, whose sum is σ = 369462400512. Its totient is φ = 25614144000.

The previous prime is 100312814431. The next prime is 100312814449. The reversal of 100312814448 is 844418213001.

It is a happy number.

100312814448 is a `hidden beast` number, since 100 + 31 + 2 + 81 + 4 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312814449) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 54784893 + ... + 54786723.

Almost surely, 2^100312814448 is an apocalyptic number.

100312814448 is a gapful number since it is divisible by the number (18) 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 100312814448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184731200256).

100312814448 is an abundant number, since it is smaller than the sum of its proper divisors (269149586064).

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

100312814448 is a wasteful number, since it uses less digits than its factorization.

100312814448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1915 counting only the distinct ones).

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

The spelling of 100312814448 in words is "one hundred billion, three hundred twelve million, eight hundred fourteen thousand, four hundred forty-eight".