145668569538240 has 1344 divisors, whose sum is σ = 626510362521600. Its totient is φ = 31708475301888.

The previous prime is 145668569538221. The next prime is 145668569538299. The reversal of 145668569538240 is 42835965866541.

145668569538240 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 8 + 5 + 69 + 538 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2229804457 + ... + 2229869783.

Almost surely, 2^{145668569538240} is an apocalyptic number.

145668569538240 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 145668569538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313255181260800).

145668569538240 is an abundant number, since it is smaller than the sum of its proper divisors (480841792983360).

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

145668569538240 is a wasteful number, since it uses less digits than its factorization.

145668569538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65619 (or 65596 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 145668569538240 in words is "one hundred forty-five trillion, six hundred sixty-eight billion, five hundred sixty-nine million, five hundred thirty-eight thousand, two hundred forty".