18070472261952 has 672 divisors, whose sum is σ = 57759467351040. Its totient is φ = 5356066775040.

The previous prime is 18070472261927. The next prime is 18070472261993. The reversal of 18070472261952 is 25916227407081.

18070472261952 is a `hidden beast` number, since 1 + 80 + 7 + 0 + 472 + 2 + 6 + 1 + 95 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21956831013 + ... + 21956831835.

It is an arithmetic number, because the mean of its divisors is an integer number (85951588320).

Almost surely, 2^{18070472261952} is an apocalyptic number.

18070472261952 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 18070472261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28879733675520).

18070472261952 is an abundant number, since it is smaller than the sum of its proper divisors (39688995089088).

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

18070472261952 is a wasteful number, since it uses less digits than its factorization.

18070472261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 18070472261952 in words is "eighteen trillion, seventy billion, four hundred seventy-two million, two hundred sixty-one thousand, nine hundred fifty-two".