1483339253760 has 3072 divisors, whose sum is σ = 7132769280000. Its totient is φ = 283596816384.

The previous prime is 1483339253719. The next prime is 1483339253813. The reversal of 1483339253760 is 673529333841.

1483339253760 is a `hidden beast` number, since 1 + 48 + 3 + 3 + 3 + 9 + 2 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 = 1483339253697 and 1483339253706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13862983627 + ... + 13862983733.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865000).

It is a 1-persistent number, because it is pandigital, but 2⋅1483339253760 = 2966678507520 is not.

Almost surely, 2^{1483339253760} is an apocalyptic number.

1483339253760 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 1483339253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640000).

1483339253760 is an abundant number, since it is smaller than the sum of its proper divisors (5649430026240).

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

1483339253760 is a wasteful number, since it uses less digits than its factorization.

1483339253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 1483339253760 in words is "one trillion, four hundred eighty-three billion, three hundred thirty-nine million, two hundred fifty-three thousand, seven hundred sixty".