11338754676480 has 1728 divisors, whose sum is σ = 53725880033280. Its totient is φ = 2134978560000.

The previous prime is 11338754676467. The next prime is 11338754676607. The reversal of 11338754676480 is 8467645783311.

11338754676480 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 7 + 546 + 7 + 6 + 4 + 80 = 666.

It is a super-2 number, since 2×11338754676480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387621855 + ... + 387651105.

It is an arithmetic number, because the mean of its divisors is an integer number (31091365760).

Almost surely, 2^{11338754676480} is an apocalyptic number.

11338754676480 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 11338754676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26862940016640).

11338754676480 is an abundant number, since it is smaller than the sum of its proper divisors (42387125356800).

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

11338754676480 is a wasteful number, since it uses less digits than its factorization.

11338754676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 11338754676480 in words is "eleven trillion, three hundred thirty-eight billion, seven hundred fifty-four million, six hundred seventy-six thousand, four hundred eighty".