481149867744 has 1152 divisors, whose sum is σ = 1828397007360. Its totient is φ = 123451776000.

The previous prime is 481149867739. The next prime is 481149867761. The reversal of 481149867744 is 447768941184.

It is a happy number.

481149867744 is a `hidden beast` number, since 4 + 8 + 11 + 498 + 67 + 74 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1916931619 + ... + 1916931869.

It is an arithmetic number, because the mean of its divisors is an integer number (1587150180).

Almost surely, 2^481149867744 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 481149867744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914198503680).

481149867744 is an abundant number, since it is smaller than the sum of its proper divisors (1347247139616).

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

481149867744 is a wasteful number, since it uses less digits than its factorization.

481149867744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 319 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 481149867744 in words is "four hundred eighty-one billion, one hundred forty-nine million, eight hundred sixty-seven thousand, seven hundred forty-four".