11148461940 has 192 divisors, whose sum is σ = 38991310848. Its totient is φ = 2312217600.

The previous prime is 11148461939. The next prime is 11148461959. The reversal of 11148461940 is 4916484111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2848585 + ... + 2852495.

It is an arithmetic number, because the mean of its divisors is an integer number (203079744).

Almost surely, 2^11148461940 is an apocalyptic number.

11148461940 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 11148461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495655424).

11148461940 is an abundant number, since it is smaller than the sum of its proper divisors (27842848908).

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

11148461940 is a wasteful number, since it uses less digits than its factorization.

11148461940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11148461940 in words is "eleven billion, one hundred forty-eight million, four hundred sixty-one thousand, nine hundred forty".