481079951968 has 864 divisors, whose sum is σ = 1401241524480. Its totient is φ = 157361356800.

The previous prime is 481079951959. The next prime is 481079952013. The reversal of 481079951968 is 869159970184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13002160846 + ... + 13002160882.

It is an arithmetic number, because the mean of its divisors is an integer number (1621807320).

Almost surely, 2^481079951968 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 481079951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700620762240).

481079951968 is an abundant number, since it is smaller than the sum of its proper divisors (920161572512).

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

481079951968 is a wasteful number, since it uses less digits than its factorization.

481079951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 67.

The spelling of 481079951968 in words is "four hundred eighty-one billion, seventy-nine million, nine hundred fifty-one thousand, nine hundred sixty-eight".