481256111700 has 972 divisors, whose sum is σ = 1962351151488. Its totient is φ = 98217100800.

The previous prime is 481256111597. The next prime is 481256111711. The reversal of 481256111700 is 7111652184.

481256111700 is a `hidden beast` number, since 4 + 8 + 1 + 25 + 611 + 17 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 231038859 + ... + 231040941.

Almost surely, 2^481256111700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481256111700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981175575744).

481256111700 is an abundant number, since it is smaller than the sum of its proper divisors (1481095039788).

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

481256111700 is a wasteful number, since it uses less digits than its factorization.

481256111700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 481256111700 its reverse (7111652184), we get a palindrome (488367763884).

The spelling of 481256111700 in words is "four hundred eighty-one billion, two hundred fifty-six million, one hundred eleven thousand, seven hundred".