11146755004 has 96 divisors (see below), whose sum is σ = 26123328000. Its totient is φ = 4114212480.

The previous prime is 11146755001. The next prime is 11146755031. The reversal of 11146755004 is 40055764111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146755001) 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, 267312 + ... + 306184.

It is an arithmetic number, because the mean of its divisors is an integer number (272118000).

Almost surely, 2^11146755004 is an apocalyptic number.

11146755004 is a gapful number since it is divisible by the number (14) 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 11146755004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664000).

11146755004 is an abundant number, since it is smaller than the sum of its proper divisors (14976572996).

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

11146755004 is a wasteful number, since it uses less digits than its factorization.

11146755004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38928 (or 38912 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 11146755004 in words is "eleven billion, one hundred forty-six million, seven hundred fifty-five thousand, four".