13263462072 has 256 divisors, whose sum is σ = 44079667200. Its totient is φ = 3613040640.

The previous prime is 13263462061. The next prime is 13263462073. The reversal of 13263462072 is 27026436231.

13263462072 is a `hidden beast` number, since 1 + 3 + 26 + 3 + 4 + 620 + 7 + 2 = 666.

It is a super-2 number, since 2×13263462072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13263462073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20065422 + ... + 20066082.

It is an arithmetic number, because the mean of its divisors is an integer number (172186200).

Almost surely, 2^13263462072 is an apocalyptic number.

13263462072 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 13263462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039833600).

13263462072 is an abundant number, since it is smaller than the sum of its proper divisors (30816205128).

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

13263462072 is a wasteful number, since it uses less digits than its factorization.

13263462072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13263462072 in words is "thirteen billion, two hundred sixty-three million, four hundred sixty-two thousand, seventy-two".