481412177664 has 288 divisors, whose sum is σ = 1482118331904. Its totient is φ = 137100656640.

The previous prime is 481412177663. The next prime is 481412177683. The reversal of 481412177664 is 466771214184.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481412177663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118193932 + ... + 118198004.

It is an arithmetic number, because the mean of its divisors is an integer number (5146244208).

Almost surely, 2^481412177664 is an apocalyptic number.

481412177664 is a gapful number since it is divisible by the number (44) 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 481412177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741059165952).

481412177664 is an abundant number, since it is smaller than the sum of its proper divisors (1000706154240).

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

481412177664 is a wasteful number, since it uses less digits than its factorization.

481412177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4929 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 481412177664 in words is "four hundred eighty-one billion, four hundred twelve million, one hundred seventy-seven thousand, six hundred sixty-four".