145511686656 has 1600 divisors, whose sum is σ = 577997291520. Its totient is φ = 35473489920.

The previous prime is 145511686627. The next prime is 145511686699. The reversal of 145511686656 is 656686115541.

It is a happy number.

145511686656 is a `hidden beast` number, since 1 + 4 + 5 + 511 + 68 + 6 + 65 + 6 = 666.

145511686656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 3932748270 + ... + 3932748306.

Almost surely, 2^145511686656 is an apocalyptic number.

145511686656 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 145511686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288998645760).

145511686656 is an abundant number, since it is smaller than the sum of its proper divisors (432485604864).

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

145511686656 is a wasteful number, since it uses less digits than its factorization.

145511686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 145511686656 in words is "one hundred forty-five billion, five hundred eleven million, six hundred eighty-six thousand, six hundred fifty-six".