193374241272 has 160 divisors (see below), whose sum is σ = 549091804800. Its totient is φ = 63575145216.

The previous prime is 193374241243. The next prime is 193374241301. The reversal of 193374241272 is 272142473391.

193374241272 is a `hidden beast` number, since 1 + 9 + 3 + 374 + 2 + 4 + 1 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (193374241243) and next prime (193374241301).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15744798 + ... + 15757074.

It is an arithmetic number, because the mean of its divisors is an integer number (3431823780).

Almost surely, 2^193374241272 is an apocalyptic number.

193374241272 is a gapful number since it is divisible by the number (12) 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 193374241272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274545902400).

193374241272 is an abundant number, since it is smaller than the sum of its proper divisors (355717563528).

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

193374241272 is a wasteful number, since it uses less digits than its factorization.

193374241272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12614 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

It can be divided in two parts, 1933 and 74241272, that added together give a triangular number (74243205 = T₁₂₁₈₅).

The spelling of 193374241272 in words is "one hundred ninety-three billion, three hundred seventy-four million, two hundred forty-one thousand, two hundred seventy-two".