481356626751 has 384 divisors, whose sum is σ = 1014716989440. Its totient is φ = 217673568000.

The previous prime is 481356626749. The next prime is 481356626753. The reversal of 481356626751 is 157626653184.

It is a happy number.

481356626751 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 5 + 6 + 626 + 7 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (481356626749) and next prime (481356626753).

It is not a de Polignac number, because 481356626751 - 2¹ = 481356626749 is a prime.

Its product of digits (7257600) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481356626753) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1116836506 + ... + 1116836936.

It is an arithmetic number, because the mean of its divisors is an integer number (2642492160).

Almost surely, 2^481356626751 is an apocalyptic number.

481356626751 is an abundant number, since it is smaller than the sum of its proper divisors (533360362689).

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

481356626751 is a wasteful number, since it uses less digits than its factorization.

481356626751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 539 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 481356626751 in words is "four hundred eighty-one billion, three hundred fifty-six million, six hundred twenty-six thousand, seven hundred fifty-one".