1448553093120 has 1344 divisors, whose sum is σ = 6273330336000. Its totient is φ = 313456656384.

The previous prime is 1448553093107. The next prime is 1448553093157. The reversal of 1448553093120 is 213903558441.

1448553093120 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 5 + 530 + 93 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992838951 + ... + 992840409.

It is an arithmetic number, because the mean of its divisors is an integer number (4667656500).

Almost surely, 2^{1448553093120} is an apocalyptic number.

1448553093120 is a gapful number since it is divisible by the number (10) 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 1448553093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136665168000).

1448553093120 is an abundant number, since it is smaller than the sum of its proper divisors (4824777242880).

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

1448553093120 is an equidigital number, since it uses as much as digits as its factorization.

1448553093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1448553093120 in words is "one trillion, four hundred forty-eight billion, five hundred fifty-three million, ninety-three thousand, one hundred twenty".