514146254004 has 96 divisors (see below), whose sum is σ = 1371040711040. Its totient is φ = 166528825344.

The previous prime is 514146253997. The next prime is 514146254053. The reversal of 514146254004 is 400452641415.

514146254004 is a `hidden beast` number, since 5 + 14 + 14 + 625 + 4 + 0 + 0 + 4 = 666.

It is a super-3 number, since 3×514146254004³ (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 514146254004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609474 + ... + 1183110.

Almost surely, 2^514146254004 is an apocalyptic number.

514146254004 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 514146254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685520355520).

514146254004 is an abundant number, since it is smaller than the sum of its proper divisors (856894457036).

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

514146254004 is a wasteful number, since it uses less digits than its factorization.

514146254004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573886 (or 573878 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 514146254004 its reverse (400452641415), we get a palindrome (914598895419).

The spelling of 514146254004 in words is "five hundred fourteen billion, one hundred forty-six million, two hundred fifty-four thousand, four".