146287852416 has 128 divisors (see below), whose sum is σ = 446640660000. Its totient is φ = 47081115648.

The previous prime is 146287852357. The next prime is 146287852433. The reversal of 146287852416 is 614258782641.

146287852416 is a `hidden beast` number, since 1 + 4 + 628 + 7 + 8 + 5 + 2 + 4 + 1 + 6 = 666.

146287852416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×146287852416³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 629581 + ... + 830028.

Almost surely, 2^146287852416 is an apocalyptic number.

146287852416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146287852416 is an abundant number, since it is smaller than the sum of its proper divisors (300352807584).

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

146287852416 is a wasteful number, since it uses less digits than its factorization.

146287852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459661 (or 1459643 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 146287852416 in words is "one hundred forty-six billion, two hundred eighty-seven million, eight hundred fifty-two thousand, four hundred sixteen".