914945310720 has 1536 divisors, whose sum is σ = 3893093568000. Its totient is φ = 206009008128.

The previous prime is 914945310679. The next prime is 914945310731. The reversal of 914945310720 is 27013549419.

914945310720 is a `hidden beast` number, since 9 + 1 + 4 + 94 + 531 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 13655900127 + ... + 13655900193.

It is an arithmetic number, because the mean of its divisors is an integer number (2534566125).

Almost surely, 2^914945310720 is an apocalyptic number.

914945310720 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 914945310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946546784000).

914945310720 is an abundant number, since it is smaller than the sum of its proper divisors (2978148257280).

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

914945310720 is an frugal number, since it uses more digits than its factorization.

914945310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 914945310720 in words is "nine hundred fourteen billion, nine hundred forty-five million, three hundred ten thousand, seven hundred twenty".