99414362880 has 576 divisors, whose sum is σ = 404441210880. Its totient is φ = 22652338176.

The previous prime is 99414362807. The next prime is 99414362897. The reversal of 99414362880 is 8826341499.

99414362880 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 4 + 3 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×99414362880³ (a number of 34 digits) contains 333 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146845102 + ... + 146845778.

It is an arithmetic number, because the mean of its divisors is an integer number (702154880).

Almost surely, 2^99414362880 is an apocalyptic number.

99414362880 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 99414362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202220605440).

99414362880 is an abundant number, since it is smaller than the sum of its proper divisors (305026848000).

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

99414362880 is a wasteful number, since it uses less digits than its factorization.

99414362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 99414362880 in words is "ninety-nine billion, four hundred fourteen million, three hundred sixty-two thousand, eight hundred eighty".