146395852604820 has 2304 divisors, whose sum is σ = 614913045626880. Its totient is φ = 27314587238400.

The previous prime is 146395852604819. The next prime is 146395852604843. The reversal of 146395852604820 is 28406258593641.

146395852604820 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 585 + 2 + 6 + 0 + 48 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 67184878491 + ... + 67184880669.

It is an arithmetic number, because the mean of its divisors is an integer number (266889342720).

Almost surely, 2^{146395852604820} is an apocalyptic number.

146395852604820 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 146395852604820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307456522813440).

146395852604820 is an abundant number, since it is smaller than the sum of its proper divisors (468517193022060).

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

146395852604820 is a wasteful number, since it uses less digits than its factorization.

146395852604820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 146395852604820 in words is "one hundred forty-six trillion, three hundred ninety-five billion, eight hundred fifty-two million, six hundred four thousand, eight hundred twenty".