1482948096960 has 896 divisors, whose sum is σ = 5492369203200. Its totient is φ = 335241953280.

The previous prime is 1482948096953. The next prime is 1482948097019. The reversal of 1482948096960 is 696908492841.

It is a super-2 number, since 2×1482948096960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1482948096891 and 1482948096900.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5638585789 + ... + 5638586051.

Almost surely, 2^{1482948096960} is an apocalyptic number.

1482948096960 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 1482948096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746184601600).

1482948096960 is an abundant number, since it is smaller than the sum of its proper divisors (4009421106240).

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

1482948096960 is a wasteful number, since it uses less digits than its factorization.

1482948096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 66.

The spelling of 1482948096960 in words is "one trillion, four hundred eighty-two billion, nine hundred forty-eight million, ninety-six thousand, nine hundred sixty".