481374392030208 has 528 divisors, whose sum is σ = 1480387310176320. Its totient is φ = 156176252928000.

The previous prime is 481374392030137. The next prime is 481374392030209. The reversal of 481374392030208 is 802030293473184.

It is a happy number.

481374392030208 is a `hidden beast` number, since 4 + 8 + 1 + 374 + 39 + 2 + 0 + 30 + 208 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481374392030209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482627568 + ... + 1482952208.

Almost surely, 2^{481374392030208} is an apocalyptic number.

481374392030208 is a gapful number since it is divisible by the number (48) 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 481374392030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740193655088160).

481374392030208 is an abundant number, since it is smaller than the sum of its proper divisors (999012918146112).

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

481374392030208 is a wasteful number, since it uses less digits than its factorization.

481374392030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324836 (or 324806 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 481374392030208 in words is "four hundred eighty-one trillion, three hundred seventy-four billion, three hundred ninety-two million, thirty thousand, two hundred eight".