181207901952 has 1080 divisors, whose sum is σ = 709159030272. Its totient is φ = 45461606400.

The previous prime is 181207901929. The next prime is 181207901989. The reversal of 181207901952 is 259109702181.

It is a junction number, because it is equal to n+sod(n) for n = 181207901898 and 181207901907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 346477563 + ... + 346478085.

Almost surely, 2^181207901952 is an apocalyptic number.

181207901952 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 181207901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354579515136).

181207901952 is an abundant number, since it is smaller than the sum of its proper divisors (527951128320).

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

181207901952 is a wasteful number, since it uses less digits than its factorization.

181207901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 181207901952 in words is "one hundred eighty-one billion, two hundred seven million, nine hundred one thousand, nine hundred fifty-two".