146829977856 has 189 divisors, whose sum is σ = 439924550611. Its totient is φ = 48888147456.

The previous prime is 146829977851. The next prime is 146829977867. The reversal of 146829977856 is 658779928641.

The square root of 146829977856 is 383184.

It is a perfect power (a square), and thus also a powerful number.

146829977856 is a `hidden beast` number, since 1 + 468 + 2 + 9 + 97 + 78 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146829977851) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 165535045 + ... + 165535931.

Almost surely, 2^146829977856 is an apocalyptic number.

146829977856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146829977856 is the 383184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146829977856

146829977856 is an abundant number, since it is smaller than the sum of its proper divisors (293094572755).

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

146829977856 is an frugal number, since it uses more digits than its factorization.

146829977856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 892 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 146829977856 in words is "one hundred forty-six billion, eight hundred twenty-nine million, nine hundred seventy-seven thousand, eight hundred fifty-six".