1381608900000 has 1620 divisors, whose sum is σ = 6009785079606. Its totient is φ = 310443840000.

The previous prime is 1381608899999. The next prime is 1381608900011. The reversal of 1381608900000 is 98061831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1989516816 + 1379619383184 = 44604^2 + 1174572^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 23417099971 + ... + 23417100029.

Almost surely, 2^{1381608900000} is an apocalyptic number.

1381608900000 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 1381608900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004892539803).

1381608900000 is an abundant number, since it is smaller than the sum of its proper divisors (4628176179606).

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

1381608900000 is an frugal number, since it uses more digits than its factorization.

1381608900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1381608900000 in words is "one trillion, three hundred eighty-one billion, six hundred eight million, nine hundred thousand".