481372316100 has 405 divisors, whose sum is σ = 1692538534533. Its totient is φ = 118291829760.

The previous prime is 481372316093. The next prime is 481372316171. The reversal of 481372316100 is 1613273184.

It is a happy number.

The square root of 481372316100 is 693810.

It is a perfect power (a square), and thus also a powerful number.

481372316100 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 7 + 2 + 31 + 610 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 418808299716 + 62564016384 = 647154^2 + 250128^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 811757404 + ... + 811757996.

Almost surely, 2^481372316100 is an apocalyptic number.

481372316100 is the 693810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481372316100

481372316100 is an abundant number, since it is smaller than the sum of its proper divisors (1211166218433).

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

481372316100 is a wasteful number, since it uses less digits than its factorization.

481372316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 481372316100 by its sum of digits (36), we get a square (17329403379600 = 4162860²).

481372316100 divided by its sum of digits (36) gives a square (13371453225 = 115635²).

Adding to 481372316100 its reverse (1613273184), we get a palindrome (482985589284).

The spelling of 481372316100 in words is "four hundred eighty-one billion, three hundred seventy-two million, three hundred sixteen thousand, one hundred".