11622635648 has 72 divisors (see below), whose sum is σ = 25106843295. Its totient is φ = 5356975104.

The previous prime is 11622635639. The next prime is 11622635657. The reversal of 11622635648 is 84653622611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11622635639) and next prime (11622635657).

It can be written as a sum of positive squares in 5 ways, for example, as 8565872704 + 3056762944 = 92552^2 + 55288^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76232.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11622635599 and 11622635608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15855890 + ... + 15856622.

Almost surely, 2^11622635648 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 11622635648

11622635648 is an abundant number, since it is smaller than the sum of its proper divisors (13484207647).

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

11622635648 is an frugal number, since it uses more digits than its factorization.

11622635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 748 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 11622635648 in words is "eleven billion, six hundred twenty-two million, six hundred thirty-five thousand, six hundred forty-eight".