414052153153215 has 16 divisors (see below), whose sum is σ = 662783618838528. Its totient is φ = 220727757083936.

The previous prime is 414052153153159. The next prime is 414052153153271. The reversal of 414052153153215 is 512351351250414.

It is an interprime number because it is at equal distance from previous prime (414052153153159) and next prime (414052153153271).

It is a cyclic number.

It is not a de Polignac number, because 414052153153215 - 2⁸ = 414052153152959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6253586487 + ... + 6253652696.

It is an arithmetic number, because the mean of its divisors is an integer number (41423976177408).

Almost surely, 2^{414052153153215} is an apocalyptic number.

414052153153215 is a deficient number, since it is larger than the sum of its proper divisors (248731465685313).

414052153153215 is a wasteful number, since it uses less digits than its factorization.

414052153153215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507241398.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 414052153153215 in words is "four hundred fourteen trillion, fifty-two billion, one hundred fifty-three million, one hundred fifty-three thousand, two hundred fifteen".