214780454064 has 400 divisors, whose sum is σ = 703863806976. Its totient is φ = 62640345600.

The previous prime is 214780454039. The next prime is 214780454089. The reversal of 214780454064 is 460454087412.

214780454064 is a `hidden beast` number, since 2 + 1 + 47 + 8 + 0 + 4 + 540 + 64 = 666.

214780454064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214780454039) and next prime (214780454089).

It is a super-2 number, since 2×214780454064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87060159 + ... + 87062625.

Almost surely, 2^214780454064 is an apocalyptic number.

214780454064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214780454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351931903488).

214780454064 is an abundant number, since it is smaller than the sum of its proper divisors (489083352912).

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

214780454064 is a wasteful number, since it uses less digits than its factorization.

214780454064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 214780454064 in words is "two hundred fourteen billion, seven hundred eighty million, four hundred fifty-four thousand, sixty-four".