11946388746240 has 1248 divisors, whose sum is σ = 46203794896896. Its totient is φ = 2835968163840.

The previous prime is 11946388746217. The next prime is 11946388746263. The reversal of 11946388746240 is 4264788364911.

11946388746240 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 6 + 388 + 7 + 4 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (11946388746217) and next prime (11946388746263).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×11946388746240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11259555310 + ... + 11259556370.

It is an arithmetic number, because the mean of its divisors is an integer number (37022271552).

Almost surely, 2^{11946388746240} is an apocalyptic number.

11946388746240 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 11946388746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101897448448).

11946388746240 is an abundant number, since it is smaller than the sum of its proper divisors (34257406150656).

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

11946388746240 is a wasteful number, since it uses less digits than its factorization.

11946388746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 11946388746240 in words is "eleven trillion, nine hundred forty-six billion, three hundred eighty-eight million, seven hundred forty-six thousand, two hundred forty".