100478407696128 has 2304 divisors, whose sum is σ = 384212243251200. Its totient is φ = 25468353331200.

The previous prime is 100478407696099. The next prime is 100478407696153. The reversal of 100478407696128 is 821696704874001.

100478407696128 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 8 + 4 + 0 + 7 + 6 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 555129324198 + ... + 555129324378.

Almost surely, 2^{100478407696128} is an apocalyptic number.

100478407696128 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 100478407696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192106121625600).

100478407696128 is an abundant number, since it is smaller than the sum of its proper divisors (283733835555072).

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

100478407696128 is an equidigital number, since it uses as much as digits as its factorization.

100478407696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 100478407696128 in words is "one hundred trillion, four hundred seventy-eight billion, four hundred seven million, six hundred ninety-six thousand, one hundred twenty-eight".