189450396836800 has 672 divisors, whose sum is σ = 552615335712000. Its totient is φ = 63154269388800.

The previous prime is 189450396836797. The next prime is 189450396836803. The reversal of 189450396836800 is 8638693054981.

189450396836800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189450396836797) and next prime (189450396836803).

It is a self number, because there is not a number n which added to its sum of digits gives 189450396836800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189450396836803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1924105971 + ... + 1924204429.

Almost surely, 2^{189450396836800} is an apocalyptic number.

189450396836800 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 189450396836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276307667856000).

189450396836800 is an abundant number, since it is smaller than the sum of its proper divisors (363164938875200).

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

189450396836800 is a wasteful number, since it uses less digits than its factorization.

189450396836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98677 (or 98662 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 189450396836800 in words is "one hundred eighty-nine trillion, four hundred fifty billion, three hundred ninety-six million, eight hundred thirty-six thousand, eight hundred".