145186587648 has 220 divisors, whose sum is σ = 434610434412. Its totient is φ = 48277831680.

The previous prime is 145186587647. The next prime is 145186587649. The reversal of 145186587648 is 846785681541.

It is a happy number.

145186587648 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 8 + 6 + 587 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (145186587647) and next prime (145186587649).

It can be written as a sum of positive squares in 2 ways, for example, as 17857511424 + 127329076224 = 133632^2 + 356832^2 .

It is not an unprimeable number, because it can be changed into a prime (145186587647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38235286 + ... + 38239082.

Almost surely, 2^145186587648 is an apocalyptic number.

145186587648 is a gapful number since it is divisible by the number (18) 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 145186587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217305217206).

145186587648 is an abundant number, since it is smaller than the sum of its proper divisors (289423846764).

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

145186587648 is an equidigital number, since it uses as much as digits as its factorization.

145186587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4263 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 145186587648 in words is "one hundred forty-five billion, one hundred eighty-six million, five hundred eighty-seven thousand, six hundred forty-eight".