36214470144 has 200 divisors, whose sum is σ = 109114219368. Its totient is φ = 11957207040.

The previous prime is 36214470143. The next prime is 36214470191. The reversal of 36214470144 is 44107441263.

36214470144 is a `hidden beast` number, since 36 + 2 + 14 + 470 + 144 = 666.

It is a super-2 number, since 2×36214470144² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36214470099 and 36214470108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36214470143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4433424 + ... + 4441584.

Almost surely, 2^36214470144 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 36214470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54557109684).

36214470144 is an abundant number, since it is smaller than the sum of its proper divisors (72899749224).

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

36214470144 is an equidigital number, since it uses as much as digits as its factorization.

36214470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 36214470144 in words is "thirty-six billion, two hundred fourteen million, four hundred seventy thousand, one hundred forty-four".