146043643151016 has 1536 divisors, whose sum is σ = 495228268953600. Its totient is φ = 39900420218880.

The previous prime is 146043643150963. The next prime is 146043643151033. The reversal of 146043643151016 is 610151346340641.

It is a happy number.

146043643151016 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 43 + 64 + 31 + 510 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155863012500 + ... + 155863013436.

It is an arithmetic number, because the mean of its divisors is an integer number (322414237600).

Almost surely, 2^{146043643151016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146043643151016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247614134476800).

146043643151016 is an abundant number, since it is smaller than the sum of its proper divisors (349184625802584).

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

146043643151016 is a wasteful number, since it uses less digits than its factorization.

146043643151016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 146043643151016 its reverse (610151346340641), we get a palindrome (756194989491657).

The spelling of 146043643151016 in words is "one hundred forty-six trillion, forty-three billion, six hundred forty-three million, one hundred fifty-one thousand, sixteen".