481308577263351 has 48 divisors (see below), whose sum is σ = 707473088524800. Its totient is φ = 315225966060096.

The previous prime is 481308577263329. The next prime is 481308577263433. The reversal of 481308577263351 is 153362775803184.

481308577263351 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 0 + 8 + 577 + 2 + 6 + 3 + 3 + 51 = 666.

It is not a de Polignac number, because 481308577263351 - 2⁶ = 481308577263287 is a prime.

It is a super-2 number, since 2×481308577263351² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481308577263251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471921110 + ... + 5472009068.

It is an arithmetic number, because the mean of its divisors is an integer number (14739022677600).

Almost surely, 2^{481308577263351} is an apocalyptic number.

481308577263351 is a deficient number, since it is larger than the sum of its proper divisors (226164511261449).

481308577263351 is a wasteful number, since it uses less digits than its factorization.

481308577263351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94700 (or 94697 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 481308577263351 in words is "four hundred eighty-one trillion, three hundred eight billion, five hundred seventy-seven million, two hundred sixty-three thousand, three hundred fifty-one".