145867548770384 has 160 divisors (see below), whose sum is σ = 337560937574400. Its totient is φ = 61013992166400.

The previous prime is 145867548770353. The next prime is 145867548770387. The reversal of 145867548770384 is 483077845768541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145867548770387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54242204 + ... + 56867844.

It is an arithmetic number, because the mean of its divisors is an integer number (2109755859840).

Almost surely, 2^{145867548770384} is an apocalyptic number.

145867548770384 is a gapful number since it is divisible by the number (14) 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 145867548770384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168780468787200).

145867548770384 is an abundant number, since it is smaller than the sum of its proper divisors (191693388804016).

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

145867548770384 is a wasteful number, since it uses less digits than its factorization.

145867548770384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625914 (or 2625894 counting only the distinct ones).

The product of its (nonzero) digits is 5057740800, while the sum is 77.

The spelling of 145867548770384 in words is "one hundred forty-five trillion, eight hundred sixty-seven billion, five hundred forty-eight million, seven hundred seventy thousand, three hundred eighty-four".