481849745328 has 300 divisors, whose sum is σ = 1707693613560. Its totient is φ = 130425168384.

The previous prime is 481849745317. The next prime is 481849745329. The reversal of 481849745328 is 823547948184.

It is a happy number.

481849745328 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 4 + 97 + 4 + 532 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (481849745329) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1006900 + ... + 1406252.

Almost surely, 2^481849745328 is an apocalyptic number.

481849745328 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 481849745328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853846806780).

481849745328 is an abundant number, since it is smaller than the sum of its proper divisors (1225843868232).

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

481849745328 is a wasteful number, since it uses less digits than its factorization.

481849745328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399406 (or 399384 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 481849745328 in words is "four hundred eighty-one billion, eight hundred forty-nine million, seven hundred forty-five thousand, three hundred twenty-eight".