215338356414000 has 3840 divisors, whose sum is σ = 921090403584000. Its totient is φ = 47732944896000.

The previous prime is 215338356413989. The next prime is 215338356414007. The reversal of 215338356414000 is 414653833512.

215338356414000 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 3 + 83 + 564 + 1 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×215338356414000³ (a number of 44 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (215338356414007) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 486091097779 + ... + 486091098221.

It is an arithmetic number, because the mean of its divisors is an integer number (239867292600).

Almost surely, 2^{215338356414000} is an apocalyptic number.

215338356414000 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 215338356414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460545201792000).

215338356414000 is an abundant number, since it is smaller than the sum of its proper divisors (705752047170000).

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

215338356414000 is a wasteful number, since it uses less digits than its factorization.

215338356414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 215338356414000 in words is "two hundred fifteen trillion, three hundred thirty-eight billion, three hundred fifty-six million, four hundred fourteen thousand".