9495149216400 has 2025 divisors, whose sum is σ = 38939776738401. Its totient is φ = 2215072604160.

The previous prime is 9495149216339. The next prime is 9495149216431. The reversal of 9495149216400 is 46129415949.

The square root of 9495149216400 is 3081420.

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

9495149216400 is a `hidden beast` number, since 9 + 4 + 9 + 5 + 14 + 9 + 216 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1460781642384 + 8034367574016 = 1208628^2 + 2834496^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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 404 ways as a sum of consecutive naturals, for example, 179153758774 + ... + 179153758826.

Almost surely, 2^{9495149216400} is an apocalyptic number.

9495149216400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9495149216400 is the 3081420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9495149216400

9495149216400 is an abundant number, since it is smaller than the sum of its proper divisors (29444627522001).

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

9495149216400 is a wasteful number, since it uses less digits than its factorization.

9495149216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 99 counting only the distinct ones).

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

The spelling of 9495149216400 in words is "nine trillion, four hundred ninety-five billion, one hundred forty-nine million, two hundred sixteen thousand, four hundred".