11900761344 has 216 divisors, whose sum is σ = 35069459880. Its totient is φ = 3880452096.

The previous prime is 11900761333. The next prime is 11900761387. The reversal of 11900761344 is 44316700911.

It can be written as a sum of positive squares in 4 ways, for example, as 7423545600 + 4477215744 = 86160^2 + 66912^2 .

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 = 11900761299 and 11900761308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29097012 + ... + 29097420.

Almost surely, 2^11900761344 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 11900761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534729940).

11900761344 is an abundant number, since it is smaller than the sum of its proper divisors (23168698536).

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

11900761344 is a wasteful number, since it uses less digits than its factorization.

11900761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11900761344 in words is "eleven billion, nine hundred million, seven hundred sixty-one thousand, three hundred forty-four".