11515135064664 has 512 divisors, whose sum is σ = 36606806046720. Its totient is φ = 2932070400000.

The previous prime is 11515135064633. The next prime is 11515135064689. The reversal of 11515135064664 is 46646053151511.

It is a super-2 number, since 2×11515135064664² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9493103322 + ... + 9493104534.

It is an arithmetic number, because the mean of its divisors is an integer number (71497668060).

Almost surely, 2^{11515135064664} is an apocalyptic number.

11515135064664 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 11515135064664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303403023360).

11515135064664 is an abundant number, since it is smaller than the sum of its proper divisors (25091670982056).

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

11515135064664 is a wasteful number, since it uses less digits than its factorization.

11515135064664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 11515135064664 in words is "eleven trillion, five hundred fifteen billion, one hundred thirty-five million, sixty-four thousand, six hundred sixty-four".