213462153216 has 864 divisors, whose sum is σ = 736495578000. Its totient is φ = 59256078336.

The previous prime is 213462153197. The next prime is 213462153239. The reversal of 213462153216 is 612351264312.

213462153216 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 621 + 5 + 3 + 21 + 6 = 666.

It is a super-2 number, since 2×213462153216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1535698875 + ... + 1535699013.

Almost surely, 2^213462153216 is an apocalyptic number.

213462153216 is a gapful number since it is divisible by the number (26) 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 213462153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368247789000).

213462153216 is an abundant number, since it is smaller than the sum of its proper divisors (523033424784).

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

213462153216 is a wasteful number, since it uses less digits than its factorization.

213462153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 203 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 213462153216 in words is "two hundred thirteen billion, four hundred sixty-two million, one hundred fifty-three thousand, two hundred sixteen".