99553338144 has 384 divisors, whose sum is σ = 330127660800. Its totient is φ = 28934184960.

The previous prime is 99553338139. The next prime is 99553338151. The reversal of 99553338144 is 44183335599.

99553338144 is a `hidden beast` number, since 9 + 9 + 553 + 3 + 3 + 81 + 4 + 4 = 666.

It is a super-2 number, since 2×99553338144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130818724 + ... + 130819484.

It is an arithmetic number, because the mean of its divisors is an integer number (859707450).

Almost surely, 2^99553338144 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 99553338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165063830400).

99553338144 is an abundant number, since it is smaller than the sum of its proper divisors (230574322656).

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

99553338144 is a wasteful number, since it uses less digits than its factorization.

99553338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1411 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 99553338144 in words is "ninety-nine billion, five hundred fifty-three million, three hundred thirty-eight thousand, one hundred forty-four".