1483613435520 has 512 divisors, whose sum is σ = 5743055001600. Its totient is φ = 360344125440.

The previous prime is 1483613435519. The next prime is 1483613435561. The reversal of 1483613435520 is 255343163841.

1483613435520 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 61 + 34 + 3 + 552 + 0 = 666.

It is a super-2 number, since 2×1483613435520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 9025102 + ... + 9188018.

It is an arithmetic number, because the mean of its divisors is an integer number (11216904300).

Almost surely, 2^{1483613435520} is an apocalyptic number.

1483613435520 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 1483613435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871527500800).

1483613435520 is an abundant number, since it is smaller than the sum of its proper divisors (4259441566080).

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

1483613435520 is a wasteful number, since it uses less digits than its factorization.

1483613435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162993 (or 162975 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1483613435520 in words is "one trillion, four hundred eighty-three billion, six hundred thirteen million, four hundred thirty-five thousand, five hundred twenty".