214052151063456 has 72 divisors (see below), whose sum is σ = 608731005994020. Its totient is φ = 71348349090816.

The previous prime is 214052151063407. The next prime is 214052151063481. The reversal of 214052151063456 is 654360151250412.

214052151063456 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 5 + 2 + 1 + 5 + 1 + 0 + 634 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201269266563600 + 12782884499856 = 14186940^2 + 3575316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3629215 + ... + 21006558.

Almost surely, 2^{214052151063456} is an apocalyptic number.

It is an amenable number.

214052151063456 is an abundant number, since it is smaller than the sum of its proper divisors (394678854930564).

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

214052151063456 is a wasteful number, since it uses less digits than its factorization.

214052151063456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24665958 (or 24665947 counting only the distinct ones).

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

The spelling of 214052151063456 in words is "two hundred fourteen trillion, fifty-two billion, one hundred fifty-one million, sixty-three thousand, four hundred fifty-six".