481925138688 has 324 divisors, whose sum is σ = 1622613440448. Its totient is φ = 137160898560.

The previous prime is 481925138671. The next prime is 481925138693. The reversal of 481925138688 is 886831529184.

481925138688 is a `hidden beast` number, since 48 + 1 + 92 + 51 + 386 + 88 = 666.

It is a super-2 number, since 2×481925138688² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29683533 + ... + 29699763.

Almost surely, 2^481925138688 is an apocalyptic number.

481925138688 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 481925138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811306720224).

481925138688 is an abundant number, since it is smaller than the sum of its proper divisors (1140688301760).

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

481925138688 is a wasteful number, since it uses less digits than its factorization.

481925138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16530 (or 16506 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 481925138688 in words is "four hundred eighty-one billion, nine hundred twenty-five million, one hundred thirty-eight thousand, six hundred eighty-eight".