100094449749504 has 320 divisors, whose sum is σ = 306167632303104. Its totient is φ = 28465642930176.

The previous prime is 100094449749479. The next prime is 100094449749523. The reversal of 100094449749504 is 405947944490001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9878061622 + ... + 9878071754.

Almost surely, 2^{100094449749504} is an apocalyptic number.

100094449749504 is a gapful number since it is divisible by the number (14) 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 100094449749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153083816151552).

100094449749504 is an abundant number, since it is smaller than the sum of its proper divisors (206073182553600).

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

100094449749504 is a wasteful number, since it uses less digits than its factorization.

100094449749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14337 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 100094449749504 in words is "one hundred trillion, ninety-four billion, four hundred forty-nine million, seven hundred forty-nine thousand, five hundred four".