13261506444 has 72 divisors (see below), whose sum is σ = 34359959088. Its totient is φ = 4311331200.

The previous prime is 13261506443. The next prime is 13261506449. The reversal of 13261506444 is 44460516231.

13261506444 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 5 + 0 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13261506399 and 13261506408.

It is not an unprimeable number, because it can be changed into a prime (13261506443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216394 + ... + 270830.

It is an arithmetic number, because the mean of its divisors is an integer number (477221654).

Almost surely, 2^13261506444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13261506444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179979544).

13261506444 is an abundant number, since it is smaller than the sum of its proper divisors (21098452644).

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

13261506444 is a wasteful number, since it uses less digits than its factorization.

13261506444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54615 (or 54610 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13261506444 in words is "thirteen billion, two hundred sixty-one million, five hundred six thousand, four hundred forty-four".