65388114000 has 1280 divisors, whose sum is σ = 272759685120. Its totient is φ = 14826240000.

The previous prime is 65388113941. The next prime is 65388114019. The reversal of 65388114000 is 41188356.

65388114000 is a `hidden beast` number, since 6 + 538 + 8 + 114 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 975941967 + ... + 975942033.

It is an arithmetic number, because the mean of its divisors is an integer number (213093504).

Almost surely, 2^65388114000 is an apocalyptic number.

65388114000 is a gapful number since it is divisible by the number (60) 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 65388114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136379842560).

65388114000 is an abundant number, since it is smaller than the sum of its proper divisors (207371571120).

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

65388114000 is a wasteful number, since it uses less digits than its factorization.

65388114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 65388114000 in words is "sixty-five billion, three hundred eighty-eight million, one hundred fourteen thousand".