11654963974368 has 360 divisors, whose sum is σ = 40490671908456. Its totient is φ = 3260128435200.

The previous prime is 11654963974307. The next prime is 11654963974391. The reversal of 11654963974368 is 86347936945611.

11654963974368 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 49 + 63 + 97 + 436 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11654963974296 and 11654963974305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3609138 + ... + 6027918.

Almost surely, 2^{11654963974368} is an apocalyptic number.

11654963974368 is a gapful number since it is divisible by the number (18) 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 11654963974368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245335954228).

11654963974368 is an abundant number, since it is smaller than the sum of its proper divisors (28835707934088).

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

11654963974368 is a wasteful number, since it uses less digits than its factorization.

11654963974368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418840 (or 2418810 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 11654963974368 in words is "eleven trillion, six hundred fifty-four billion, nine hundred sixty-three million, nine hundred seventy-four thousand, three hundred sixty-eight".