18973261272 has 128 divisors (see below), whose sum is σ = 55520640000. Its totient is φ = 5291328000.

The previous prime is 18973261259. The next prime is 18973261283. The reversal of 18973261272 is 27216237981.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196854 + ... + 1212602.

It is an arithmetic number, because the mean of its divisors is an integer number (433755000).

Almost surely, 2^18973261272 is an apocalyptic number.

18973261272 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 18973261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320000).

18973261272 is an abundant number, since it is smaller than the sum of its proper divisors (36547378728).

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

18973261272 is a wasteful number, since it uses less digits than its factorization.

18973261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15937 (or 15933 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 18973261272 in words is "eighteen billion, nine hundred seventy-three million, two hundred sixty-one thousand, two hundred seventy-two".