145543438656 has 1176 divisors, whose sum is σ = 567148431360. Its totient is φ = 36212520960.

The previous prime is 145543438591. The next prime is 145543438661. The reversal of 145543438656 is 656834345541.

145543438656 is a `hidden beast` number, since 1 + 4 + 5 + 543 + 4 + 38 + 65 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1146011265 + ... + 1146011391.

Almost surely, 2^145543438656 is an apocalyptic number.

145543438656 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 145543438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283574215680).

145543438656 is an abundant number, since it is smaller than the sum of its proper divisors (421604992704).

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

145543438656 is a wasteful number, since it uses less digits than its factorization.

145543438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 145543438656 in words is "one hundred forty-five billion, five hundred forty-three million, four hundred thirty-eight thousand, six hundred fifty-six".