146345707872 has 576 divisors, whose sum is σ = 539712875520. Its totient is φ = 36557402112.

The previous prime is 146345707843. The next prime is 146345707903. The reversal of 146345707872 is 278707543641.

146345707872 is a `hidden beast` number, since 1 + 4 + 63 + 4 + 570 + 7 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64496754 + ... + 64499022.

It is an arithmetic number, because the mean of its divisors is an integer number (937001520).

Almost surely, 2^146345707872 is an apocalyptic number.

146345707872 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 146345707872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269856437760).

146345707872 is an abundant number, since it is smaller than the sum of its proper divisors (393367167648).

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

146345707872 is a wasteful number, since it uses less digits than its factorization.

146345707872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 146345707872 in words is "one hundred forty-six billion, three hundred forty-five million, seven hundred seven thousand, eight hundred seventy-two".