145668585600 has 1152 divisors, whose sum is σ = 569452927680. Its totient is φ = 36727603200.

The previous prime is 145668585581. The next prime is 145668585607. The reversal of 145668585600 is 6585866541.

145668585600 is a `hidden beast` number, since 1 + 4 + 56 + 6 + 8 + 585 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (145668585607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1755043159 + ... + 1755043241.

Almost surely, 2^145668585600 is an apocalyptic number.

145668585600 is a gapful number since it is divisible by the number (10) 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 145668585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284726463840).

145668585600 is an abundant number, since it is smaller than the sum of its proper divisors (423784342080).

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

145668585600 is an equidigital number, since it uses as much as digits as its factorization.

145668585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 145668585600 in words is "one hundred forty-five billion, six hundred sixty-eight million, five hundred eighty-five thousand, six hundred".