100494478656 has 560 divisors, whose sum is σ = 361349227008. Its totient is φ = 27197337600.

The previous prime is 100494478639. The next prime is 100494478769. The reversal of 100494478656 is 656874494001.

100494478656 is a `hidden beast` number, since 100 + 4 + 9 + 4 + 478 + 65 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22978486 + ... + 22982858.

Almost surely, 2^100494478656 is an apocalyptic number.

100494478656 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 100494478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180674613504).

100494478656 is an abundant number, since it is smaller than the sum of its proper divisors (260854748352).

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

100494478656 is a wasteful number, since it uses less digits than its factorization.

100494478656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 100494478656 in words is "one hundred billion, four hundred ninety-four million, four hundred seventy-eight thousand, six hundred fifty-six".