1711461381120 has 352 divisors, whose sum is σ = 6155545818240. Its totient is φ = 450888007680.

The previous prime is 1711461381103. The next prime is 1711461381127. The reversal of 1711461381120 is 211831641171.

1711461381120 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 4 + 613 + 8 + 11 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1711461381127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11399340 + ... + 11548500.

Almost surely, 2^{1711461381120} is an apocalyptic number.

1711461381120 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 1711461381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077772909120).

1711461381120 is an abundant number, since it is smaller than the sum of its proper divisors (4444084437120).

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

1711461381120 is a wasteful number, since it uses less digits than its factorization.

1711461381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149278 (or 149254 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1711461381120 in words is "one trillion, seven hundred eleven billion, four hundred sixty-one million, three hundred eighty-one thousand, one hundred twenty".