514400490886464 has 3584 divisors, whose sum is σ = 2063622471680000. Its totient is φ = 121870787051520.

The previous prime is 514400490886427. The next prime is 514400490886481. The reversal of 514400490886464 is 464688094004415.

514400490886464 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 0 + 0 + 4 + 90 + 8 + 86 + 464 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1675571631399 + ... + 1675571631705.

It is an arithmetic number, because the mean of its divisors is an integer number (575787520000).

Almost surely, 2^{514400490886464} is an apocalyptic number.

514400490886464 is a gapful number since it is divisible by the number (54) 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 514400490886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031811235840000).

514400490886464 is an abundant number, since it is smaller than the sum of its proper divisors (1549221980793536).

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

514400490886464 is a wasteful number, since it uses less digits than its factorization.

514400490886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 514400490886464 in words is "five hundred fourteen trillion, four hundred billion, four hundred ninety million, eight hundred eighty-six thousand, four hundred sixty-four".