491514584064 has 352 divisors, whose sum is σ = 1603207779840. Its totient is φ = 130678259712.

The previous prime is 491514584063. The next prime is 491514584083. The reversal of 491514584064 is 460485415194.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 491514583998 and 491514584016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491514584063) 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, 32527999 + ... + 32543105.

Almost surely, 2^491514584064 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 491514584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801603889920).

491514584064 is an abundant number, since it is smaller than the sum of its proper divisors (1111693195776).

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

491514584064 is a wasteful number, since it uses less digits than its factorization.

491514584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 491514584064 in words is "four hundred ninety-one billion, five hundred fourteen million, five hundred eighty-four thousand, sixty-four".