481314011100000 has 864 divisors, whose sum is σ = 1713825314597088. Its totient is φ = 118214553600000.

The previous prime is 481314011099969. The next prime is 481314011100089. The reversal of 481314011100000 is 1110413184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23372689704 + ... + 23372710296.

It is an arithmetic number, because the mean of its divisors is an integer number (1983594114117).

Almost surely, 2^{481314011100000} is an apocalyptic number.

481314011100000 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 481314011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856912657298544).

481314011100000 is an abundant number, since it is smaller than the sum of its proper divisors (1232511303497088).

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

481314011100000 is a wasteful number, since it uses less digits than its factorization.

481314011100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21118 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 481314011100000 its reverse (1110413184), we get a palindrome (481315121513184).

The spelling of 481314011100000 in words is "four hundred eighty-one trillion, three hundred fourteen billion, eleven million, one hundred thousand".