146943892656 has 360 divisors, whose sum is σ = 459506370960. Its totient is φ = 43798318080.

The previous prime is 146943892619. The next prime is 146943892687. The reversal of 146943892656 is 656298349641.

146943892656 is a `hidden beast` number, since 1 + 4 + 69 + 438 + 92 + 6 + 56 = 666.

146943892656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×146943892656³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146943892593 and 146943892602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501514846 + ... + 501515138.

It is an arithmetic number, because the mean of its divisors is an integer number (1276406586).

Almost surely, 2^146943892656 is an apocalyptic number.

146943892656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146943892656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229753185480).

146943892656 is an abundant number, since it is smaller than the sum of its proper divisors (312562478304).

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

146943892656 is a wasteful number, since it uses less digits than its factorization.

146943892656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 685 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 146943892656 in words is "one hundred forty-six billion, nine hundred forty-three million, eight hundred ninety-two thousand, six hundred fifty-six".