11451017378304 has 640 divisors, whose sum is σ = 39841021440000. Its totient is φ = 3179344379904.

The previous prime is 11451017378303. The next prime is 11451017378341. The reversal of 11451017378304 is 40387371015411.

11451017378304 is a `hidden beast` number, since 1 + 14 + 510 + 17 + 37 + 83 + 0 + 4 = 666.

It is a super-2 number, since 2×11451017378304² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11451017378304.

It is not an unprimeable number, because it can be changed into a prime (11451017378303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828036862 + ... + 828050690.

It is an arithmetic number, because the mean of its divisors is an integer number (62251596000).

Almost surely, 2^{11451017378304} is an apocalyptic number.

11451017378304 is a gapful number since it is divisible by the number (14) 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 11451017378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920510720000).

11451017378304 is an abundant number, since it is smaller than the sum of its proper divisors (28390004061696).

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

11451017378304 is a wasteful number, since it uses less digits than its factorization.

11451017378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11451017378304 in words is "eleven trillion, four hundred fifty-one billion, seventeen million, three hundred seventy-eight thousand, three hundred four".