189703661531400 has 384 divisors, whose sum is σ = 654771766924800. Its totient is φ = 50483347200000.

The previous prime is 189703661531399. The next prime is 189703661531459. The reversal of 189703661531400 is 4135166307981.

189703661531400 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 0 + 3 + 6 + 61 + 531 + 40 + 0 = 666.

189703661531400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9285079185 + ... + 9285099615.

It is an arithmetic number, because the mean of its divisors is an integer number (1705134809700).

Almost surely, 2^{189703661531400} is an apocalyptic number.

189703661531400 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 189703661531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327385883462400).

189703661531400 is an abundant number, since it is smaller than the sum of its proper divisors (465068105393400).

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

189703661531400 is a wasteful number, since it uses less digits than its factorization.

189703661531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 189703661531400 in words is "one hundred eighty-nine trillion, seven hundred three billion, six hundred sixty-one million, five hundred thirty-one thousand, four hundred".