146083744512 has 288 divisors, whose sum is σ = 443758613760. Its totient is φ = 47377612800.

The previous prime is 146083744493. The next prime is 146083744523. The reversal of 146083744512 is 215447380641.

146083744512 is a `hidden beast` number, since 1 + 4 + 60 + 8 + 3 + 74 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91244512 + ... + 91246112.

It is an arithmetic number, because the mean of its divisors is an integer number (1540828520).

Almost surely, 2^146083744512 is an apocalyptic number.

146083744512 is a gapful number since it is divisible by the number (12) 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 146083744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221879306880).

146083744512 is an abundant number, since it is smaller than the sum of its proper divisors (297674869248).

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

146083744512 is a wasteful number, since it uses less digits than its factorization.

146083744512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 146083744512 in words is "one hundred forty-six billion, eighty-three million, seven hundred forty-four thousand, five hundred twelve".