38511306144 has 180 divisors, whose sum is σ = 116415239094. Its totient is φ = 12489002496.

The previous prime is 38511306013. The next prime is 38511306157. The reversal of 38511306144 is 44160311583.

38511306144 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 1 + 30 + 614 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38254665744 + 256640400 = 195588^2 + 16020^2 .

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 = 38511306099 and 38511306108.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3543022 + ... + 3553874.

Almost surely, 2^38511306144 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 38511306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58207619547).

38511306144 is an abundant number, since it is smaller than the sum of its proper divisors (77903932950).

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

38511306144 is a wasteful number, since it uses less digits than its factorization.

38511306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38511306144 in words is "thirty-eight billion, five hundred eleven million, three hundred six thousand, one hundred forty-four".