100353891456 has 384 divisors, whose sum is σ = 370881987840. Its totient is φ = 25315614720.

The previous prime is 100353891439. The next prime is 100353891487. The reversal of 100353891456 is 654198353001.

100353891456 is a `hidden beast` number, since 100 + 3 + 5 + 3 + 8 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390326 + ... + 2431946.

It is an arithmetic number, because the mean of its divisors is an integer number (965838510).

Almost surely, 2^100353891456 is an apocalyptic number.

100353891456 is a gapful number since it is divisible by the number (16) 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 100353891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440993920).

100353891456 is an abundant number, since it is smaller than the sum of its proper divisors (270528096384).

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

100353891456 is a wasteful number, since it uses less digits than its factorization.

100353891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41684 (or 41669 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 100353891456 in words is "one hundred billion, three hundred fifty-three million, eight hundred ninety-one thousand, four hundred fifty-six".