11446144352640 has 256 divisors, whose sum is σ = 40630797504000. Its totient is φ = 3045350283264.

The previous prime is 11446144352593. The next prime is 11446144352653. The reversal of 11446144352640 is 4625344164411.

It is a happy number.

11446144352640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 614 + 4 + 3 + 5 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831487 + ... + 8340353.

It is an arithmetic number, because the mean of its divisors is an integer number (158714052750).

Almost surely, 2^{11446144352640} is an apocalyptic number.

11446144352640 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 11446144352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315398752000).

11446144352640 is an abundant number, since it is smaller than the sum of its proper divisors (29184653151360).

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

11446144352640 is a wasteful number, since it uses less digits than its factorization.

11446144352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509334 (or 1509316 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 11446144352640 in words is "eleven trillion, four hundred forty-six billion, one hundred forty-four million, three hundred fifty-two thousand, six hundred forty".