516146405454 has 48 divisors (see below), whose sum is σ = 1211637830832. Its totient is φ = 158162505984.

The previous prime is 516146405447. The next prime is 516146405459. The reversal of 516146405454 is 454504641615.

516146405454 is a `hidden beast` number, since 5 + 1 + 61 + 4 + 6 + 40 + 545 + 4 = 666.

It is a super-2 number, since 2×516146405454² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516146405459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19600249 + ... + 19626564.

It is an arithmetic number, because the mean of its divisors is an integer number (25242454809).

Almost surely, 2^516146405454 is an apocalyptic number.

516146405454 is an abundant number, since it is smaller than the sum of its proper divisors (695491425378).

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

516146405454 is a wasteful number, since it uses less digits than its factorization.

516146405454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39226881 (or 39226878 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

It can be divided in two parts, 516146 and 405454, that added together give a square (921600 = 960²).

The spelling of 516146405454 in words is "five hundred sixteen billion, one hundred forty-six million, four hundred five thousand, four hundred fifty-four".