486930382848 has 882 divisors, whose sum is σ = 1829164462314. Its totient is φ = 128421199872.

The previous prime is 486930382831. The next prime is 486930382867. The reversal of 486930382848 is 848283039684.

486930382848 is a `hidden beast` number, since 48 + 6 + 9 + 303 + 8 + 284 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 337105649664 + 149824733184 = 580608^2 + 387072^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is a super-2 number, since 2×486930382848² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37456183290 + ... + 37456183302.

Almost surely, 2^486930382848 is an apocalyptic number.

486930382848 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 486930382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914582231157).

486930382848 is an abundant number, since it is smaller than the sum of its proper divisors (1342234079466).

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

486930382848 is an frugal number, since it uses more digits than its factorization.

486930382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 486930382848 in words is "four hundred eighty-six billion, nine hundred thirty million, three hundred eighty-two thousand, eight hundred forty-eight".