11648801495040 has 384 divisors, whose sum is σ = 38126350080000. Its totient is φ = 3034953678848.

The previous prime is 11648801495011. The next prime is 11648801495047. The reversal of 11648801495040 is 4059410884611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11648801495040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648801495047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864853426 + ... + 864866894.

It is an arithmetic number, because the mean of its divisors is an integer number (99287370000).

Almost surely, 2^{11648801495040} is an apocalyptic number.

11648801495040 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 11648801495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19063175040000).

11648801495040 is an abundant number, since it is smaller than the sum of its proper divisors (26477548584960).

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

11648801495040 is a wasteful number, since it uses less digits than its factorization.

11648801495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14145 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 11648801495040 in words is "eleven trillion, six hundred forty-eight billion, eight hundred one million, four hundred ninety-five thousand, forty".