481375509552 has 160 divisors (see below), whose sum is σ = 1608910594560. Its totient is φ = 134940798720.

The previous prime is 481375509487. The next prime is 481375509553. The reversal of 481375509552 is 255905573184.

481375509552 is a `hidden beast` number, since 4 + 8 + 1 + 37 + 5 + 50 + 9 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (481375509553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341474 + ... + 1662017.

It is an arithmetic number, because the mean of its divisors is an integer number (10055691216).

Almost surely, 2^481375509552 is an apocalyptic number.

481375509552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

481375509552 is an abundant number, since it is smaller than the sum of its proper divisors (1127535085008).

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

481375509552 is a wasteful number, since it uses less digits than its factorization.

481375509552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003568 (or 3003556 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 481375509552 in words is "four hundred eighty-one billion, three hundred seventy-five million, five hundred nine thousand, five hundred fifty-two".