193914313920 has 672 divisors, whose sum is σ = 714059349120. Its totient is φ = 48217128960.

The previous prime is 193914313903. The next prime is 193914313997. The reversal of 193914313920 is 29313419391.

It is a happy number.

193914313920 is a `hidden beast` number, since 193 + 9 + 1 + 431 + 3 + 9 + 20 = 666.

It is a super-2 number, since 2×193914313920² (a number of 23 digits) contains 22 as substring.

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

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, 314285452 + ... + 314286068.

Almost surely, 2^193914313920 is an apocalyptic number.

193914313920 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 193914313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357029674560).

193914313920 is an abundant number, since it is smaller than the sum of its proper divisors (520145035200).

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

193914313920 is a wasteful number, since it uses less digits than its factorization.

193914313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 193914313920 in words is "one hundred ninety-three billion, nine hundred fourteen million, three hundred thirteen thousand, nine hundred twenty".