11267139502336 has 81 divisors (see below), whose sum is σ = 22628217512061. Its totient is φ = 5599224446976.

The previous prime is 11267139502291. The next prime is 11267139502337. The reversal of 11267139502336 is 63320593176211.

The square root of 11267139502336 is 3356656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2729897017600 + 8537242484736 = 1652240^2 + 2921856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11267139502336.

It is not an unprimeable number, because it can be changed into a prime (11267139502337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10365353185 + ... + 10365354271.

Almost surely, 2^{11267139502336} is an apocalyptic number.

11267139502336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11267139502336 is the 3356656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11267139502336

11267139502336 is an abundant number, since it is smaller than the sum of its proper divisors (11361078009725).

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

11267139502336 is an frugal number, since it uses more digits than its factorization.

11267139502336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 11267139502336 by its sum of digits (49), we get a square (552089835614464 = 23496592²).

The spelling of 11267139502336 in words is "eleven trillion, two hundred sixty-seven billion, one hundred thirty-nine million, five hundred two thousand, three hundred thirty-six".