99351409248 has 672 divisors, whose sum is σ = 382309574976. Its totient is φ = 24652283904.

The previous prime is 99351409211. The next prime is 99351409253. The reversal of 99351409248 is 84290415399.

99351409248 is a `hidden beast` number, since 9 + 9 + 351 + 40 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 99351409194 and 99351409203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36087040 + ... + 36089792.

It is an arithmetic number, because the mean of its divisors is an integer number (568913058).

Almost surely, 2^99351409248 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 99351409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191154787488).

99351409248 is an abundant number, since it is smaller than the sum of its proper divisors (282958165728).

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

99351409248 is a wasteful number, since it uses less digits than its factorization.

99351409248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99351409248 in words is "ninety-nine billion, three hundred fifty-one million, four hundred nine thousand, two hundred forty-eight".