11452453356240 has 1120 divisors, whose sum is σ = 46362092636160. Its totient is φ = 2605420339200.

The previous prime is 11452453356233. The next prime is 11452453356251. The reversal of 11452453356240 is 4265335425411.

11452453356240 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 4 + 53 + 356 + 240 = 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 223 ways as a sum of consecutive naturals, for example, 590596945 + ... + 590616335.

It is an arithmetic number, because the mean of its divisors is an integer number (41394725568).

Almost surely, 2^{11452453356240} is an apocalyptic number.

11452453356240 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 11452453356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181046318080).

11452453356240 is an abundant number, since it is smaller than the sum of its proper divisors (34909639279920).

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

11452453356240 is a wasteful number, since it uses less digits than its factorization.

11452453356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 11452453356240 in words is "eleven trillion, four hundred fifty-two billion, four hundred fifty-three million, three hundred fifty-six thousand, two hundred forty".