11455358904 has 320 divisors, whose sum is σ = 36548582400. Its totient is φ = 3320352000.

The previous prime is 11455358881. The next prime is 11455358911. The reversal of 11455358904 is 40985355411.

It is a happy number.

11455358904 is a `hidden beast` number, since 1 + 1 + 4 + 553 + 5 + 8 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11455358904.

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 79 ways as a sum of consecutive naturals, for example, 31213329 + ... + 31213695.

It is an arithmetic number, because the mean of its divisors is an integer number (114214320).

Almost surely, 2^11455358904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455358904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18274291200).

11455358904 is an abundant number, since it is smaller than the sum of its proper divisors (25093223496).

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

11455358904 is a wasteful number, since it uses less digits than its factorization.

11455358904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 11455358904 in words is "eleven billion, four hundred fifty-five million, three hundred fifty-eight thousand, nine hundred four".