1125385904448 has 672 divisors, whose sum is σ = 3675350332800. Its totient is φ = 337421500416.

The previous prime is 1125385904429. The next prime is 1125385904497. The reversal of 1125385904448 is 8444095835211.

1125385904448 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 8 + 590 + 4 + 4 + 48 = 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 = 1125385904394 and 1125385904403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2210974018 + ... + 2210974526.

Almost surely, 2^{1125385904448} is an apocalyptic number.

1125385904448 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 1125385904448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837675166400).

1125385904448 is an abundant number, since it is smaller than the sum of its proper divisors (2549964428352).

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

1125385904448 is a wasteful number, since it uses less digits than its factorization.

1125385904448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1125385904448 in words is "one trillion, one hundred twenty-five billion, three hundred eighty-five million, nine hundred four thousand, four hundred forty-eight".