146098243984 has 405 divisors, whose sum is σ = 389817680931. Its totient is φ = 52839198720.

The previous prime is 146098243979. The next prime is 146098244029. The reversal of 146098243984 is 489342890641.

The square root of 146098243984 is 382228.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18449245584 + 127648998400 = 135828^2 + 357280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2001345772 + ... + 2001345844.

Almost surely, 2^146098243984 is an apocalyptic number.

146098243984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

146098243984 is the 382228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146098243984

146098243984 is an abundant number, since it is smaller than the sum of its proper divisors (243719436947).

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

146098243984 is a wasteful number, since it uses less digits than its factorization.

146098243984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 146098243984 in words is "one hundred forty-six billion, ninety-eight million, two hundred forty-three thousand, nine hundred eighty-four".