100809943946496 has 720 divisors, whose sum is σ = 317243246664960. Its totient is φ = 31776753254400.

The previous prime is 100809943946477. The next prime is 100809943946531. The reversal of 100809943946496 is 694649349908001.

100809943946496 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 9 + 9 + 43 + 94 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 47350841560 + ... + 47350843688.

It is an arithmetic number, because the mean of its divisors is an integer number (440615620368).

Almost surely, 2^{100809943946496} is an apocalyptic number.

100809943946496 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 100809943946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158621623332480).

100809943946496 is an abundant number, since it is smaller than the sum of its proper divisors (216433302718464).

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

100809943946496 is a wasteful number, since it uses less digits than its factorization.

100809943946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 100809943946496 in words is "one hundred trillion, eight hundred nine billion, nine hundred forty-three million, nine hundred forty-six thousand, four hundred ninety-six".