481034955456 has 336 divisors, whose sum is σ = 1515521000448. Its totient is φ = 144670924800.

The previous prime is 481034955439. The next prime is 481034955529. The reversal of 481034955456 is 654559430184.

481034955456 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 3 + 4 + 95 + 545 + 6 = 666.

It is a super-3 number, since 3×481034955456³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743484925 + ... + 743485571.

It is an arithmetic number, because the mean of its divisors is an integer number (4510479168).

Almost surely, 2^481034955456 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 481034955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757760500224).

481034955456 is an abundant number, since it is smaller than the sum of its proper divisors (1034486044992).

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

481034955456 is a wasteful number, since it uses less digits than its factorization.

481034955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 481034955456 in words is "four hundred eighty-one billion, thirty-four million, nine hundred fifty-five thousand, four hundred fifty-six".