11372827648 has 264 divisors, whose sum is σ = 29140371456. Its totient is φ = 4319723520.

The previous prime is 11372827639. The next prime is 11372827651. The reversal of 11372827648 is 84672827311.

It is a super-2 number, since 2×11372827648² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89549761 + ... + 89549887.

Almost surely, 2^11372827648 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 11372827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570185728).

11372827648 is an abundant number, since it is smaller than the sum of its proper divisors (17767543808).

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

11372827648 is a wasteful number, since it uses less digits than its factorization.

11372827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

It can be divided in two parts, 113728 and 27648, that added together give a square (141376 = 376²).

The spelling of 11372827648 in words is "eleven billion, three hundred seventy-two million, eight hundred twenty-seven thousand, six hundred forty-eight".