11837617344 has 560 divisors, whose sum is σ = 43902904320. Its totient is φ = 3075563520.

The previous prime is 11837617333. The next prime is 11837617349. The reversal of 11837617344 is 44371673811.

It is a super-2 number, since 2×11837617344² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11837617344.

It is not an unprimeable number, because it can be changed into a prime (11837617349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19123467 + ... + 19124085.

Almost surely, 2^11837617344 is an apocalyptic number.

11837617344 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 11837617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951452160).

11837617344 is an abundant number, since it is smaller than the sum of its proper divisors (32065286976).

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

11837617344 is a wasteful number, since it uses less digits than its factorization.

11837617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 11837617344 in words is "eleven billion, eight hundred thirty-seven million, six hundred seventeen thousand, three hundred forty-four".