145621784448 has 960 divisors, whose sum is σ = 530378196480. Its totient is φ = 39504568320.

The previous prime is 145621784377. The next prime is 145621784449. The reversal of 145621784448 is 844487126541.

145621784448 is a `hidden beast` number, since 1 + 4 + 5 + 621 + 7 + 8 + 4 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145621784394 and 145621784403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145621784449) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1146628161 + ... + 1146628287.

It is an arithmetic number, because the mean of its divisors is an integer number (552477288).

Almost surely, 2^145621784448 is an apocalyptic number.

145621784448 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 145621784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265189098240).

145621784448 is an abundant number, since it is smaller than the sum of its proper divisors (384756412032).

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

145621784448 is a wasteful number, since it uses less digits than its factorization.

145621784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 145621784448 in words is "one hundred forty-five billion, six hundred twenty-one million, seven hundred eighty-four thousand, four hundred forty-eight".