11648015640 has 384 divisors, whose sum is σ = 40758681600. Its totient is φ = 2879585280.

The previous prime is 11648015629. The next prime is 11648015669. The reversal of 11648015640 is 4651084611.

11648015640 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 0 + 1 + 5 + 640 = 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 = 11648015595 and 11648015604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27799351 + ... + 27799769.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 2^11648015640 is an apocalyptic number.

11648015640 is a gapful number since it is divisible by the number (10) 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 11648015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379340800).

11648015640 is an abundant number, since it is smaller than the sum of its proper divisors (29110665960).

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

11648015640 is a wasteful number, since it uses less digits than its factorization.

11648015640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11648015640 in words is "eleven billion, six hundred forty-eight million, fifteen thousand, six hundred forty".