1381161600 has 1152 divisors, whose sum is σ = 6629575680. Its totient is φ = 265420800.

The previous prime is 1381161559. The next prime is 1381161647. The reversal of 1381161600 is 61611831.

1381161600 is a `hidden beast` number, since 1 + 38 + 11 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44553585 + ... + 44553615.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^1381161600 is an apocalyptic number.

1381161600 is a gapful number since it is divisible by the number (10) 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 1381161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314787840).

1381161600 is an abundant number, since it is smaller than the sum of its proper divisors (5248414080).

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

1381161600 is a wasteful number, since it uses less digits than its factorization.

1381161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1381161600 is about 37163.9825637673. The cubic root of 1381161600 is about 1113.6485734857.

The spelling of 1381161600 in words is "one billion, three hundred eighty-one million, one hundred sixty-one thousand, six hundred".