214147478160 has 2560 divisors, whose sum is σ = 1055246745600. Its totient is φ = 38539100160.

The previous prime is 214147478141. The next prime is 214147478189. The reversal of 214147478160 is 61874741412.

214147478160 is a `hidden beast` number, since 2 + 1 + 4 + 14 + 7 + 478 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2406151396 + ... + 2406151484.

It is an arithmetic number, because the mean of its divisors is an integer number (412205760).

Almost surely, 2^214147478160 is an apocalyptic number.

214147478160 is a gapful number since it is divisible by the number (20) 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 214147478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527623372800).

214147478160 is an abundant number, since it is smaller than the sum of its proper divisors (841099267440).

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

214147478160 is a wasteful number, since it uses less digits than its factorization.

214147478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 214147478160 in words is "two hundred fourteen billion, one hundred forty-seven million, four hundred seventy-eight thousand, one hundred sixty".