1381166514000 has 1920 divisors, whose sum is σ = 6307352303616. Its totient is φ = 273715200000.

The previous prime is 1381166513981. The next prime is 1381166514029. The reversal of 1381166514000 is 4156611831.

It is a happy number.

1381166514000 is a `hidden beast` number, since 1 + 3 + 81 + 1 + 66 + 514 + 0 + 0 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 2298113700 + ... + 2298114300.

Almost surely, 2^{1381166514000} is an apocalyptic number.

1381166514000 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 1381166514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153676151808).

1381166514000 is an abundant number, since it is smaller than the sum of its proper divisors (4926185789616).

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

1381166514000 is a wasteful number, since it uses less digits than its factorization.

1381166514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1381166514000 in words is "one trillion, three hundred eighty-one billion, one hundred sixty-six million, five hundred fourteen thousand".