414525100216653 has 48 divisors (see below), whose sum is σ = 634916047708800. Its totient is φ = 259710172001280.

The previous prime is 414525100216639. The next prime is 414525100216657. The reversal of 414525100216653 is 356612001525414.

414525100216653 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 2 + 510 + 0 + 21 + 66 + 53 = 666.

It is not a de Polignac number, because 414525100216653 - 2⁴ = 414525100216637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414525100216599 and 414525100216608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414525100216657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421257808 + ... + 422240678.

It is an arithmetic number, because the mean of its divisors is an integer number (13227417660600).

Almost surely, 2^{414525100216653} is an apocalyptic number.

It is an amenable number.

414525100216653 is a deficient number, since it is larger than the sum of its proper divisors (220390947492147).

414525100216653 is a wasteful number, since it uses less digits than its factorization.

414525100216653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986962 (or 986959 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 414525100216653 in words is "four hundred fourteen trillion, five hundred twenty-five billion, one hundred million, two hundred sixteen thousand, six hundred fifty-three".