99145644312960 has 3072 divisors, whose sum is σ = 434369798553600. Its totient is φ = 21122492497920.

The previous prime is 99145644312931. The next prime is 99145644312977. The reversal of 99145644312960 is 6921344654199.

99145644312960 is a `hidden beast` number, since 9 + 9 + 1 + 4 + 5 + 6 + 443 + 129 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 212303306647 + ... + 212303307113.

It is an arithmetic number, because the mean of its divisors is an integer number (141396418800).

Almost surely, 2^{99145644312960} is an apocalyptic number.

99145644312960 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 99145644312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217184899276800).

99145644312960 is an abundant number, since it is smaller than the sum of its proper divisors (335224154240640).

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

99145644312960 is a wasteful number, since it uses less digits than its factorization.

99145644312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 99145644312960 in words is "ninety-nine trillion, one hundred forty-five billion, six hundred forty-four million, three hundred twelve thousand, nine hundred sixty".