11654985363840 has 2304 divisors, whose sum is σ = 52989342981120. Its totient is φ = 2335245631488.

The previous prime is 11654985363829. The next prime is 11654985363943. The reversal of 11654985363840 is 4836358945611.

It is a happy number.

11654985363840 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 4 + 98 + 536 + 3 + 8 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14093089507 + ... + 14093090333.

It is an arithmetic number, because the mean of its divisors is an integer number (22998846780).

Almost surely, 2^{11654985363840} is an apocalyptic number.

11654985363840 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 11654985363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26494671490560).

11654985363840 is an abundant number, since it is smaller than the sum of its proper divisors (41334357617280).

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

11654985363840 is a wasteful number, since it uses less digits than its factorization.

11654985363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 11654985363840 in words is "eleven trillion, six hundred fifty-four billion, nine hundred eighty-five million, three hundred sixty-three thousand, eight hundred forty".