480101236992 has 576 divisors, whose sum is σ = 1582350336000. Its totient is φ = 142651072512.

The previous prime is 480101236981. The next prime is 480101237017. The reversal of 480101236992 is 299632101084.

480101236992 is a `hidden beast` number, since 480 + 1 + 0 + 1 + 23 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×480101236992² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333634609 + ... + 333636047.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136000).

Almost surely, 2^480101236992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480101236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168000).

480101236992 is an abundant number, since it is smaller than the sum of its proper divisors (1102249099008).

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

480101236992 is a wasteful number, since it uses less digits than its factorization.

480101236992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 480101236992 in words is "four hundred eighty billion, one hundred one million, two hundred thirty-six thousand, nine hundred ninety-two".