1457483748480 has 192 divisors, whose sum is σ = 5033519894520. Its totient is φ = 388612423680.

The previous prime is 1457483748433. The next prime is 1457483748481. The reversal of 1457483748480 is 848473847541.

1457483748480 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 4 + 83 + 74 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1430052439104 + 27431309376 = 1195848^2 + 165624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1457483748481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74530384 + ... + 74549936.

Almost surely, 2^{1457483748480} is an apocalyptic number.

1457483748480 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 1457483748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516759947260).

1457483748480 is an abundant number, since it is smaller than the sum of its proper divisors (3576036146040).

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

1457483748480 is a wasteful number, since it uses less digits than its factorization.

1457483748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32519 (or 32504 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 1457483748480 in words is "one trillion, four hundred fifty-seven billion, four hundred eighty-three million, seven hundred forty-eight thousand, four hundred eighty".