145740886848 has 588 divisors, whose sum is σ = 485502577380. Its totient is φ = 43231076352.

The previous prime is 145740886843. The next prime is 145740886849. The reversal of 145740886848 is 848688047541.

145740886848 is a `hidden beast` number, since 1 + 457 + 4 + 0 + 88 + 68 + 48 = 666.

145740886848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116030159424 + 29710727424 = 340632^2 + 172368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145740886843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 286327618 + ... + 286328126.

Almost surely, 2^145740886848 is an apocalyptic number.

145740886848 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 145740886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242751288690).

145740886848 is an abundant number, since it is smaller than the sum of its proper divisors (339761690532).

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

145740886848 is an equidigital number, since it uses as much as digits as its factorization.

145740886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 145740886848 in words is "one hundred forty-five billion, seven hundred forty million, eight hundred eighty-six thousand, eight hundred forty-eight".