1452231825408 has 1152 divisors, whose sum is σ = 5466392568000. Its totient is φ = 382253727744.

The previous prime is 1452231825403. The next prime is 1452231825409. The reversal of 1452231825408 is 8045281322541.

1452231825408 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 23 + 1 + 82 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452231825403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2853107458 + ... + 2853107966.

Almost surely, 2^{1452231825408} is an apocalyptic number.

1452231825408 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 1452231825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733196284000).

1452231825408 is an abundant number, since it is smaller than the sum of its proper divisors (4014160742592).

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

1452231825408 is an frugal number, since it uses more digits than its factorization.

1452231825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1452231825408 in words is "one trillion, four hundred fifty-two billion, two hundred thirty-one million, eight hundred twenty-five thousand, four hundred eight".