146898840960 has 384 divisors, whose sum is σ = 527011168320. Its totient is φ = 37675008000.

The previous prime is 146898840943. The next prime is 146898840971. The reversal of 146898840960 is 69048898641.

146898840960 is a `hidden beast` number, since 1 + 468 + 9 + 8 + 84 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16762980 + ... + 16771740.

Almost surely, 2^146898840960 is an apocalyptic number.

146898840960 is a gapful number since it is divisible by the number (10) 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 146898840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263505584160).

146898840960 is an abundant number, since it is smaller than the sum of its proper divisors (380112327360).

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

146898840960 is a wasteful number, since it uses less digits than its factorization.

146898840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 146898840960 in words is "one hundred forty-six billion, eight hundred ninety-eight million, eight hundred forty thousand, nine hundred sixty".