11645365645440 has 320 divisors, whose sum is σ = 41886921384000. Its totient is φ = 3083087702016.

The previous prime is 11645365645427. The next prime is 11645365645481. The reversal of 11645365645440 is 4454656354611.

11645365645440 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 5 + 36 + 5 + 64 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11645365645440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6397701 + ... + 8013819.

It is an arithmetic number, because the mean of its divisors is an integer number (130896629325).

Almost surely, 2^{11645365645440} is an apocalyptic number.

11645365645440 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 11645365645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943460692000).

11645365645440 is an abundant number, since it is smaller than the sum of its proper divisors (30241555738560).

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

11645365645440 is a wasteful number, since it uses less digits than its factorization.

11645365645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616289 (or 1616268 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 11645365645440 in words is "eleven trillion, six hundred forty-five billion, three hundred sixty-five million, six hundred forty-five thousand, four hundred forty".