145745616384 has 320 divisors, whose sum is σ = 458361288000. Its totient is φ = 45567442944.

The previous prime is 145745616383. The next prime is 145745616391. The reversal of 145745616384 is 483616547541.

145745616384 is a `hidden beast` number, since 1 + 4 + 5 + 74 + 561 + 6 + 3 + 8 + 4 = 666.

It is a super-3 number, since 3×145745616384³ (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145745616384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145745616383) 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, 82016904 + ... + 82018680.

It is an arithmetic number, because the mean of its divisors is an integer number (1432379025).

Almost surely, 2^145745616384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145745616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229180644000).

145745616384 is an abundant number, since it is smaller than the sum of its proper divisors (312615671616).

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

145745616384 is a wasteful number, since it uses less digits than its factorization.

145745616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2148 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

It can be divided in two parts, 145745 and 616384, that added together give a square (762129 = 873²).

The spelling of 145745616384 in words is "one hundred forty-five billion, seven hundred forty-five million, six hundred sixteen thousand, three hundred eighty-four".