11408686464 has 192 divisors, whose sum is σ = 36390988800. Its totient is φ = 3154314240.

The previous prime is 11408686447. The next prime is 11408686469. The reversal of 11408686464 is 46468680411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408686469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573517 + ... + 593075.

It is an arithmetic number, because the mean of its divisors is an integer number (189536400).

Almost surely, 2^11408686464 is an apocalyptic number.

11408686464 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 11408686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195494400).

11408686464 is an abundant number, since it is smaller than the sum of its proper divisors (24982302336).

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

11408686464 is a wasteful number, since it uses less digits than its factorization.

11408686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19621 (or 19602 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 11408686464 in words is "eleven billion, four hundred eight million, six hundred eighty-six thousand, four hundred sixty-four".