193464313920 has 672 divisors, whose sum is σ = 754405456896. Its totient is φ = 46979481600.

The previous prime is 193464313883. The next prime is 193464313921. The reversal of 193464313920 is 29313464391.

It is a happy number.

193464313920 is a `hidden beast` number, since 1 + 93 + 46 + 431 + 3 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (193464313921) 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, 40977160 + ... + 40981880.

It is an arithmetic number, because the mean of its divisors is an integer number (1122627168).

Almost surely, 2^193464313920 is an apocalyptic number.

193464313920 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 193464313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377202728448).

193464313920 is an abundant number, since it is smaller than the sum of its proper divisors (560941142976).

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

193464313920 is a wasteful number, since it uses less digits than its factorization.

193464313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 193464313920 in words is "one hundred ninety-three billion, four hundred sixty-four million, three hundred thirteen thousand, nine hundred twenty".