99050310144 has 480 divisors, whose sum is σ = 318856824000. Its totient is φ = 29454630912.

The previous prime is 99050310109. The next prime is 99050310209. The reversal of 99050310144 is 44101305099.

It is a happy number.

99050310144 is a `hidden beast` number, since 9 + 9 + 0 + 503 + 1 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 99050310099 and 99050310108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134032527 + ... + 134033265.

It is an arithmetic number, because the mean of its divisors is an integer number (664285050).

Almost surely, 2^99050310144 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 99050310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159428412000).

99050310144 is an abundant number, since it is smaller than the sum of its proper divisors (219806513856).

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

99050310144 is a wasteful number, since it uses less digits than its factorization.

99050310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 99050310144 in words is "ninety-nine billion, fifty million, three hundred ten thousand, one hundred forty-four".