100478454762348 has 144 divisors (see below), whose sum is σ = 274528750204800. Its totient is φ = 30802982676480.

The previous prime is 100478454762347. The next prime is 100478454762377. The reversal of 100478454762348 is 843267454874001.

It is a happy number.

100478454762348 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 84 + 547 + 6 + 2 + 3 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (100478454762347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335952168 + ... + 1336027376.

It is an arithmetic number, because the mean of its divisors is an integer number (1906449654200).

Almost surely, 2^{100478454762348} is an apocalyptic number.

100478454762348 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 100478454762348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137264375102400).

100478454762348 is an abundant number, since it is smaller than the sum of its proper divisors (174050295442452).

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

100478454762348 is a wasteful number, since it uses less digits than its factorization.

100478454762348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85672 (or 85667 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 100478454762348 in words is "one hundred trillion, four hundred seventy-eight billion, four hundred fifty-four million, seven hundred sixty-two thousand, three hundred forty-eight".