1457548369920 has 896 divisors, whose sum is σ = 5362446862080. Its totient is φ = 380103819264.

The previous prime is 1457548369889. The next prime is 1457548369967. The reversal of 1457548369920 is 299638457541.

1457548369920 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 5 + 483 + 69 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4747714407 + ... + 4747714713.

It is an arithmetic number, because the mean of its divisors is an integer number (5984873730).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1457548369920 = 2915096739840, but 3⋅1457548369920 = 4372645109760 is not.

Almost surely, 2^{1457548369920} is an apocalyptic number.

1457548369920 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 1457548369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681223431040).

1457548369920 is an abundant number, since it is smaller than the sum of its proper divisors (3904898492160).

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

1457548369920 is an frugal number, since it uses more digits than its factorization.

1457548369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1457548369920 in words is "one trillion, four hundred fifty-seven billion, five hundred forty-eight million, three hundred sixty-nine thousand, nine hundred twenty".