193428317001460 has 192 divisors, whose sum is σ = 422438443499520. Its totient is φ = 74356588500480.

The previous prime is 193428317001419. The next prime is 193428317001547. The reversal of 193428317001460 is 64100713824391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6008753965 + ... + 6008786155.

It is an arithmetic number, because the mean of its divisors is an integer number (2200200226560).

Almost surely, 2^{193428317001460} is an apocalyptic number.

193428317001460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193428317001460 is an abundant number, since it is smaller than the sum of its proper divisors (229010126498060).

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

193428317001460 is a wasteful number, since it uses less digits than its factorization.

193428317001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32918 (or 32916 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 193428317001460 in words is "one hundred ninety-three trillion, four hundred twenty-eight billion, three hundred seventeen million, one thousand, four hundred sixty".