9914184900 has 81 divisors (see below), whose sum is σ = 31084827501. Its totient is φ = 2642986080.

The previous prime is 9914184893. The next prime is 9914184923. The reversal of 9914184900 is 94814199.

The square root of 9914184900 is 99570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3569106564 + 6345078336 = 59742^2 + 79656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2985441 + ... + 2988759.

Almost surely, 2^9914184900 is an apocalyptic number.

9914184900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9914184900 is the 99570-th square number.

It is an amenable number.

9914184900 is an abundant number, since it is smaller than the sum of its proper divisors (21170642601).

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

9914184900 is a wasteful number, since it uses less digits than its factorization.

9914184900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The cubic root of 9914184900 is about 2148.2542092739.

It can be divided in two parts, 99141 and 84900, that added together give a square (184041 = 429²).

The spelling of 9914184900 in words is "nine billion, nine hundred fourteen million, one hundred eighty-four thousand, nine hundred".