5146456520340 has 72 divisors (see below), whose sum is σ = 15614810390088. Its totient is φ = 1372046227200.

The previous prime is 5146456520287. The next prime is 5146456520363. The reversal of 5146456520340 is 430256546415.

5146456520340 is a `hidden beast` number, since 5 + 1 + 4 + 64 + 565 + 20 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2340844920324 + 2805611600016 = 1529982^2 + 1674996^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2840011 + ... + 4284690.

It is an arithmetic number, because the mean of its divisors is an integer number (216872366529).

Almost surely, 2^{5146456520340} is an apocalyptic number.

It is an amenable number.

5146456520340 is an abundant number, since it is smaller than the sum of its proper divisors (10468353869748).

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

5146456520340 is a wasteful number, since it uses less digits than its factorization.

5146456520340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128729 (or 7128724 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5146456520340 in words is "five trillion, one hundred forty-six billion, four hundred fifty-six million, five hundred twenty thousand, three hundred forty".