189490946400 has 1440 divisors, whose sum is σ = 846098846208. Its totient is φ = 40327372800.

The previous prime is 189490946353. The next prime is 189490946417. The reversal of 189490946400 is 4649094981.

It is a happy number.

189490946400 is a `hidden beast` number, since 1 + 8 + 9 + 490 + 94 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 427744579 + ... + 427745021.

Almost surely, 2^189490946400 is an apocalyptic number.

189490946400 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 189490946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423049423104).

189490946400 is an abundant number, since it is smaller than the sum of its proper divisors (656607899808).

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

189490946400 is a wasteful number, since it uses less digits than its factorization.

189490946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 189490946400 in words is "one hundred eighty-nine billion, four hundred ninety million, nine hundred forty-six thousand, four hundred".