386214787152 has 200 divisors, whose sum is σ = 1132815803680. Its totient is φ = 127545840000.

The previous prime is 386214787087. The next prime is 386214787157. The reversal of 386214787152 is 251787412683.

386214787152 is a `hidden beast` number, since 3 + 8 + 621 + 4 + 7 + 8 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×386214787152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386214787157) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34321527 + ... + 34332777.

Almost surely, 2^386214787152 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 386214787152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566407901840).

386214787152 is an abundant number, since it is smaller than the sum of its proper divisors (746601016528).

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

386214787152 is an equidigital number, since it uses as much as digits as its factorization.

386214787152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395 (or 11365 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 386214787152 in words is "three hundred eighty-six billion, two hundred fourteen million, seven hundred eighty-seven thousand, one hundred fifty-two".