99344534400 has 768 divisors, whose sum is σ = 388546560000. Its totient is φ = 24733900800.

The previous prime is 99344534339. The next prime is 99344534407. The reversal of 99344534400 is 443544399.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99344534407) 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, 77672961 + ... + 77674239.

It is an arithmetic number, because the mean of its divisors is an integer number (505920000).

Almost surely, 2^99344534400 is an apocalyptic number.

99344534400 is a gapful number since it is divisible by the number (90) 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 99344534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194273280000).

99344534400 is an abundant number, since it is smaller than the sum of its proper divisors (289202025600).

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

99344534400 is a wasteful number, since it uses less digits than its factorization.

99344534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 99344534400 in words is "ninety-nine billion, three hundred forty-four million, five hundred thirty-four thousand, four hundred".