480990846615552 has 6144 divisors, whose sum is σ = 2051889315840000. Its totient is φ = 111244864389120.

The previous prime is 480990846615551. The next prime is 480990846615563. The reversal of 480990846615552 is 255516648099084.

480990846615552 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 9 + 0 + 8 + 4 + 6 + 61 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a super-3 number, since 3×480990846615552³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480990846615551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15515833761777 + ... + 15515833761807.

It is an arithmetic number, because the mean of its divisors is an integer number (333966360000).

Almost surely, 2^{480990846615552} is an apocalyptic number.

480990846615552 is a gapful number since it is divisible by the number (42) 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 480990846615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025944657920000).

480990846615552 is an abundant number, since it is smaller than the sum of its proper divisors (1570898469224448).

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

480990846615552 is an equidigital number, since it uses as much as digits as its factorization.

480990846615552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 480990846615552 in words is "four hundred eighty trillion, nine hundred ninety billion, eight hundred forty-six million, six hundred fifteen thousand, five hundred fifty-two".