20381361408 has 216 divisors, whose sum is σ = 62789636000. Its totient is φ = 6339244032.

The previous prime is 20381361373. The next prime is 20381361431. The reversal of 20381361408 is 80416318302.

20381361408 is a `hidden beast` number, since 2 + 0 + 38 + 1 + 3 + 614 + 0 + 8 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929518 + ... + 2936466.

Almost surely, 2^20381361408 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 20381361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394818000).

20381361408 is an abundant number, since it is smaller than the sum of its proper divisors (42408274592).

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

20381361408 is a wasteful number, since it uses less digits than its factorization.

20381361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20381361408 in words is "twenty billion, three hundred eighty-one million, three hundred sixty-one thousand, four hundred eight".