193930045920 has 1152 divisors, whose sum is σ = 786387813120. Its totient is φ = 43080744960.

The previous prime is 193930045919. The next prime is 193930045943. The reversal of 193930045920 is 29540039391.

193930045920 is a `hidden beast` number, since 1 + 93 + 93 + 0 + 0 + 459 + 20 = 666.

193930045920 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1161257677 + ... + 1161257843.

It is an arithmetic number, because the mean of its divisors is an integer number (682628310).

Almost surely, 2^193930045920 is an apocalyptic number.

193930045920 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 193930045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393193906560).

193930045920 is an abundant number, since it is smaller than the sum of its proper divisors (592457767200).

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

193930045920 is a wasteful number, since it uses less digits than its factorization.

193930045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 193930045920 in words is "one hundred ninety-three billion, nine hundred thirty million, forty-five thousand, nine hundred twenty".