181993653219252 has 384 divisors, whose sum is σ = 504729501696000. Its totient is φ = 51007720982400.

The previous prime is 181993653219241. The next prime is 181993653219271. The reversal of 181993653219252 is 252912356399181.

181993653219252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (62985600) is a multiple of the sum of its prime divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96856653249 + ... + 96856655127.

It is an arithmetic number, because the mean of its divisors is an integer number (1314399744000).

Almost surely, 2^{181993653219252} is an apocalyptic number.

181993653219252 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 181993653219252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252364750848000).

181993653219252 is an abundant number, since it is smaller than the sum of its proper divisors (322735848476748).

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

181993653219252 is a wasteful number, since it uses less digits than its factorization.

181993653219252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3456 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 66.

The spelling of 181993653219252 in words is "one hundred eighty-one trillion, nine hundred ninety-three billion, six hundred fifty-three million, two hundred nineteen thousand, two hundred fifty-two".