914378225080320 has 4608 divisors, whose sum is σ = 4497619183948800. Its totient is φ = 175355135262720.

The previous prime is 914378225080283. The next prime is 914378225080321. The reversal of 914378225080320 is 23080522873419.

914378225080320 is a `hidden beast` number, since 9 + 1 + 4 + 37 + 82 + 2 + 508 + 0 + 3 + 20 = 666.

914378225080320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914378225080321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 156920921247 + ... + 156920927073.

It is an arithmetic number, because the mean of its divisors is an integer number (976045829850).

Almost surely, 2^{914378225080320} is an apocalyptic number.

914378225080320 is a gapful number since it is divisible by the number (90) 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 914378225080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248809591974400).

914378225080320 is an abundant number, since it is smaller than the sum of its proper divisors (3583240958868480).

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

914378225080320 is a wasteful number, since it uses less digits than its factorization.

914378225080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 914378225080320 in words is "nine hundred fourteen trillion, three hundred seventy-eight billion, two hundred twenty-five million, eighty thousand, three hundred twenty".