481065775974000 has 3200 divisors, whose sum is σ = 2167581105930240. Its totient is φ = 100338020352000.

The previous prime is 481065775973957. The next prime is 481065775974019. The reversal of 481065775974000 is 479577560184.

481065775974000 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 6 + 577 + 59 + 7 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×481065775974000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 98761191565 + ... + 98761196435.

Almost surely, 2^{481065775974000} is an apocalyptic number.

481065775974000 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 481065775974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083790552965120).

481065775974000 is an abundant number, since it is smaller than the sum of its proper divisors (1686515329956240).

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

481065775974000 is a wasteful number, since it uses less digits than its factorization.

481065775974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 481065775974000 in words is "four hundred eighty-one trillion, sixty-five billion, seven hundred seventy-five million, nine hundred seventy-four thousand".