146676764500 has 48 divisors (see below), whose sum is σ = 366105212928. Its totient is φ = 50289175200.

The previous prime is 146676764491. The next prime is 146676764539. The reversal of 146676764500 is 5467676641.

146676764500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×146676764500³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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, 20950324 + ... + 20957323.

It is an arithmetic number, because the mean of its divisors is an integer number (7627191936).

Almost surely, 2^146676764500 is an apocalyptic number.

146676764500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146676764500 is an abundant number, since it is smaller than the sum of its proper divisors (219428448428).

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

146676764500 is a wasteful number, since it uses less digits than its factorization.

146676764500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41907673 (or 41907661 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 146676764500 in words is "one hundred forty-six billion, six hundred seventy-six million, seven hundred sixty-four thousand, five hundred".