214412608158000 has 640 divisors, whose sum is σ = 797317896960000. Its totient is φ = 48557164953600.

The previous prime is 214412608157959. The next prime is 214412608158011. The reversal of 214412608158000 is 851806214412.

It is a super-3 number, since 3×214412608158000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3009306376 + ... + 3009377624.

It is an arithmetic number, because the mean of its divisors is an integer number (1245809214000).

Almost surely, 2^{214412608158000} is an apocalyptic number.

214412608158000 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 214412608158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398658948480000).

214412608158000 is an abundant number, since it is smaller than the sum of its proper divisors (582905288802000).

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

214412608158000 is a wasteful number, since it uses less digits than its factorization.

214412608158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71942 (or 71926 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 214412608158000 in words is "two hundred fourteen trillion, four hundred twelve billion, six hundred eight million, one hundred fifty-eight thousand".