146733262770816 has 128 divisors (see below), whose sum is σ = 451895918198400. Its totient is φ = 46784518539264.

The previous prime is 146733262770769. The next prime is 146733262770869. The reversal of 146733262770816 is 618077262337641.

146733262770816 is a `hidden beast` number, since 1 + 467 + 3 + 3 + 2 + 6 + 27 + 70 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922910541 + ... + 923069516.

It is an arithmetic number, because the mean of its divisors is an integer number (3530436860925).

Almost surely, 2^{146733262770816} is an apocalyptic number.

146733262770816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146733262770816 is an abundant number, since it is smaller than the sum of its proper divisors (305162655427584).

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

146733262770816 is a wasteful number, since it uses less digits than its factorization.

146733262770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845980103 (or 1845980085 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 146733262770816 in words is "one hundred forty-six trillion, seven hundred thirty-three billion, two hundred sixty-two million, seven hundred seventy thousand, eight hundred sixteen".