614421625643460 has 72 divisors (see below), whose sum is σ = 1863747766160280. Its totient is φ = 163845576211968.

The previous prime is 614421625643459. The next prime is 614421625643477. The reversal of 614421625643460 is 64346526124416.

614421625643460 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 2 + 1 + 625 + 6 + 4 + 3 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61507504099584 + 552914121543876 = 7842672^2 + 23514126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 614421625643397 and 614421625643406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225085656 + ... + 227799024.

It is an arithmetic number, because the mean of its divisors is an integer number (25885385641115).

Almost surely, 2^{614421625643460} is an apocalyptic number.

614421625643460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

614421625643460 is an abundant number, since it is smaller than the sum of its proper divisors (1249326140516820).

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

614421625643460 is a wasteful number, since it uses less digits than its factorization.

614421625643460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971397 (or 3971392 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 614421625643460 in words is "six hundred fourteen trillion, four hundred twenty-one billion, six hundred twenty-five million, six hundred forty-three thousand, four hundred sixty".