38133864236160 has 1280 divisors, whose sum is σ = 179774251303680. Its totient is φ = 7457793638400.

The previous prime is 38133864236119. The next prime is 38133864236189. The reversal of 38133864236160 is 6163246833183.

38133864236160 is a `hidden beast` number, since 3 + 8 + 1 + 338 + 64 + 236 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38133864236097 and 38133864236106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67577580 + ... + 68139540.

It is an arithmetic number, because the mean of its divisors is an integer number (140448633831).

Almost surely, 2^{38133864236160} is an apocalyptic number.

38133864236160 is a gapful number since it is divisible by the number (30) 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 38133864236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89887125651840).

38133864236160 is an abundant number, since it is smaller than the sum of its proper divisors (141640387067520).

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

38133864236160 is a wasteful number, since it uses less digits than its factorization.

38133864236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562027 (or 562006 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 38133864236160 in words is "thirty-eight trillion, one hundred thirty-three billion, eight hundred sixty-four million, two hundred thirty-six thousand, one hundred sixty".