514211143680 has 672 divisors, whose sum is σ = 1952182552320. Its totient is φ = 124429271040.

The previous prime is 514211143673. The next prime is 514211143687. The reversal of 514211143680 is 86341112415.

514211143680 is a `hidden beast` number, since 5 + 1 + 4 + 211 + 1 + 436 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (514211143673) and next prime (514211143687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514211143687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 292330641 + ... + 292332399.

It is an arithmetic number, because the mean of its divisors is an integer number (2905033560).

Almost surely, 2^514211143680 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 514211143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976091276160).

514211143680 is an abundant number, since it is smaller than the sum of its proper divisors (1437971408640).

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

514211143680 is a wasteful number, since it uses less digits than its factorization.

514211143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 514211143680 in words is "five hundred fourteen billion, two hundred eleven million, one hundred forty-three thousand, six hundred eighty".