99667201248 has 576 divisors, whose sum is σ = 332954012160. Its totient is φ = 28849582080.

The previous prime is 99667201213. The next prime is 99667201261. The reversal of 99667201248 is 84210276699.

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 = 99667201194 and 99667201203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324648711 + ... + 324649017.

It is an arithmetic number, because the mean of its divisors is an integer number (578045160).

Almost surely, 2^99667201248 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 99667201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166477006080).

99667201248 is an abundant number, since it is smaller than the sum of its proper divisors (233286810912).

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

99667201248 is a wasteful number, since it uses less digits than its factorization.

99667201248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99667201248 in words is "ninety-nine billion, six hundred sixty-seven million, two hundred one thousand, two hundred forty-eight".