9146898579456 has 513 divisors, whose sum is σ = 29208085917283. Its totient is φ = 2756302602240.

The previous prime is 9146898579443. The next prime is 9146898579479. The reversal of 9146898579456 is 6549758986419.

The square root of 9146898579456 is 3024384.

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

9146898579456 is a `hidden beast` number, since 9 + 1 + 4 + 6 + 8 + 98 + 5 + 79 + 456 = 666.

It is a Duffinian number.

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, 51099991975 + ... + 51099992153.

Almost surely, 2^{9146898579456} is an apocalyptic number.

9146898579456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9146898579456 is the 3024384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9146898579456

9146898579456 is an abundant number, since it is smaller than the sum of its proper divisors (20061187337827).

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

9146898579456 is an frugal number, since it uses more digits than its factorization.

9146898579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 195 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

Multiplying 9146898579456 by its sum of digits (81), we get a square (740898784935936 = 27219456²).

The spelling of 9146898579456 in words is "nine trillion, one hundred forty-six billion, eight hundred ninety-eight million, five hundred seventy-nine thousand, four hundred fifty-six".