914653321920 has 784 divisors, whose sum is σ = 3550274555520. Its totient is φ = 222999257088.

The previous prime is 914653321871. The next prime is 914653321931. The reversal of 914653321920 is 29123356419.

914653321920 is a `hidden beast` number, since 9 + 1 + 4 + 6 + 533 + 21 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 330556377 + ... + 330559143.

Almost surely, 2^914653321920 is an apocalyptic number.

914653321920 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 914653321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775137277760).

914653321920 is an abundant number, since it is smaller than the sum of its proper divisors (2635621233600).

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

914653321920 is a wasteful number, since it uses less digits than its factorization.

914653321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 914653321920 in words is "nine hundred fourteen billion, six hundred fifty-three million, three hundred twenty-one thousand, nine hundred twenty".