481694169600 has 1200 divisors, whose sum is σ = 2104176324096. Its totient is φ = 106500096000.

The previous prime is 481694169559. The next prime is 481694169611. The reversal of 481694169600 is 6961496184.

It is a happy number.

481694169600 is a `hidden beast` number, since 4 + 8 + 16 + 9 + 4 + 16 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224984530 + ... + 224986670.

Almost surely, 2^481694169600 is an apocalyptic number.

481694169600 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 481694169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052088162048).

481694169600 is an abundant number, since it is smaller than the sum of its proper divisors (1622482154496).

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

481694169600 is a wasteful number, since it uses less digits than its factorization.

481694169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 481694169600 in words is "four hundred eighty-one billion, six hundred ninety-four million, one hundred sixty-nine thousand, six hundred".