146077726464 has 216 divisors, whose sum is σ = 427434959952. Its totient is φ = 47972597760.

The previous prime is 146077726409. The next prime is 146077726469. The reversal of 146077726464 is 464627770641.

146077726464 is a `hidden beast` number, since 1 + 4 + 607 + 7 + 7 + 26 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146077726464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146077726469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88157124 + ... + 88158780.

Almost surely, 2^146077726464 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 146077726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213717479976).

146077726464 is an abundant number, since it is smaller than the sum of its proper divisors (281357233488).

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

146077726464 is a wasteful number, since it uses less digits than its factorization.

146077726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 146077726464 in words is "one hundred forty-six billion, seventy-seven million, seven hundred twenty-six thousand, four hundred sixty-four".