99461385401800 has 384 divisors, whose sum is σ = 248237636774400. Its totient is φ = 37007730524160.

The previous prime is 99461385401779. The next prime is 99461385401803. The reversal of 99461385401800 is 810458316499.

It is not an unprimeable number, because it can be changed into a prime (99461385401803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569179244 + ... + 2569217956.

It is an arithmetic number, because the mean of its divisors is an integer number (646452179100).

Almost surely, 2^{99461385401800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99461385401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124118818387200).

99461385401800 is an abundant number, since it is smaller than the sum of its proper divisors (148776251372600).

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

99461385401800 is a wasteful number, since it uses less digits than its factorization.

99461385401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38985 (or 38976 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 99461385401800 in words is "ninety-nine trillion, four hundred sixty-one billion, three hundred eighty-five million, four hundred one thousand, eight hundred".