100049662944000 has 6048 divisors, whose sum is σ = 485116634882880. Its totient is φ = 20316635136000.

The previous prime is 100049662943983. The next prime is 100049662944017. The reversal of 100049662944000 is 449266940001.

100049662944000 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 9 + 6 + 629 + 4 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100049662943983) and next prime (100049662944017).

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 917886815946 + ... + 917886816054.

It is an arithmetic number, because the mean of its divisors is an integer number (80211083810).

Almost surely, 2^{100049662944000} is an apocalyptic number.

100049662944000 is a gapful number since it is divisible by the number (10) 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 100049662944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242558317441440).

100049662944000 is an abundant number, since it is smaller than the sum of its proper divisors (385066971938880).

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

100049662944000 is an equidigital number, since it uses as much as digits as its factorization.

100049662944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 100049662944000 in words is "one hundred trillion, forty-nine billion, six hundred sixty-two million, nine hundred forty-four thousand".