145183224384 has 336 divisors, whose sum is σ = 482831119680. Its totient is φ = 41246392320.

The previous prime is 145183224371. The next prime is 145183224401. The reversal of 145183224384 is 483422381541.

145183224384 is a `hidden beast` number, since 1 + 4 + 518 + 32 + 24 + 3 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11671032 + ... + 11683464.

It is an arithmetic number, because the mean of its divisors is an integer number (1436997380).

Almost surely, 2^145183224384 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 145183224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241415559840).

145183224384 is an abundant number, since it is smaller than the sum of its proper divisors (337647895296).

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

145183224384 is a wasteful number, since it uses less digits than its factorization.

145183224384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12565 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 145183224384 in words is "one hundred forty-five billion, one hundred eighty-three million, two hundred twenty-four thousand, three hundred eighty-four".