481114857600 has 960 divisors, whose sum is σ = 1939883964480. Its totient is φ = 116702208000.

The previous prime is 481114857581. The next prime is 481114857611. The reversal of 481114857600 is 6758411184.

481114857600 is a `hidden beast` number, since 481 + 114 + 8 + 57 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 239240595 + ... + 239242605.

It is an arithmetic number, because the mean of its divisors is an integer number (2020712463).

Almost surely, 2^481114857600 is an apocalyptic number.

481114857600 is a gapful number since it is divisible by the number (40) 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 481114857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969941982240).

481114857600 is an abundant number, since it is smaller than the sum of its proper divisors (1458769106880).

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

481114857600 is a wasteful number, since it uses less digits than its factorization.

481114857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 481114857600 in words is "four hundred eighty-one billion, one hundred fourteen million, eight hundred fifty-seven thousand, six hundred".