1661114189700 has 1728 divisors, whose sum is σ = 6628397088768. Its totient is φ = 339954278400.

The previous prime is 1661114189687. The next prime is 1661114189701. The reversal of 1661114189700 is 79814111661.

1661114189700 is a `hidden beast` number, since 1 + 6 + 611 + 14 + 18 + 9 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1661114189701) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22754988864 + ... + 22754988936.

Almost surely, 2^{1661114189700} is an apocalyptic number.

1661114189700 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 1661114189700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314198544384).

1661114189700 is an abundant number, since it is smaller than the sum of its proper divisors (4967282899068).

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

1661114189700 is a wasteful number, since it uses less digits than its factorization.

1661114189700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1661114189700 in words is "one trillion, six hundred sixty-one billion, one hundred fourteen million, one hundred eighty-nine thousand, seven hundred".