213878412154368 has 800 divisors, whose sum is σ = 759565230088896. Its totient is φ = 59244640468992.

The previous prime is 213878412154349. The next prime is 213878412154399. The reversal of 213878412154368 is 863451214878312.

213878412154368 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 7 + 8 + 4 + 1 + 21 + 543 + 68 = 666.

It is a super-2 number, since 2×213878412154368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 210294880 + ... + 211309472.

Almost surely, 2^{213878412154368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213878412154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379782615044448).

213878412154368 is an abundant number, since it is smaller than the sum of its proper divisors (545686817934528).

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

213878412154368 is a wasteful number, since it uses less digits than its factorization.

213878412154368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014676 (or 1014651 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 213878412154368 in words is "two hundred thirteen trillion, eight hundred seventy-eight billion, four hundred twelve million, one hundred fifty-four thousand, three hundred sixty-eight".