480853601340036 has 96 divisors (see below), whose sum is σ = 1175412278170368. Its totient is φ = 152708329635840.

The previous prime is 480853601340019. The next prime is 480853601340067. The reversal of 480853601340036 is 630043106358084.

It is a super-3 number, since 3×480853601340036³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039135276 + ... + 1039597916.

It is an arithmetic number, because the mean of its divisors is an integer number (12243877897608).

Almost surely, 2^{480853601340036} is an apocalyptic number.

480853601340036 is a gapful number since it is divisible by the number (46) 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 480853601340036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587706139085184).

480853601340036 is an abundant number, since it is smaller than the sum of its proper divisors (694558676830332).

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

480853601340036 is a wasteful number, since it uses less digits than its factorization.

480853601340036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477581 (or 477579 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 480853601340036 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred one million, three hundred forty thousand, thirty-six".