934454092320 has 864 divisors, whose sum is σ = 3772987283520. Its totient is φ = 209959464960.

The previous prime is 934454092223. The next prime is 934454092321. The reversal of 934454092320 is 23290454439.

934454092320 is a `hidden beast` number, since 9 + 3 + 4 + 4 + 5 + 409 + 232 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (934454092321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2219605710 + ... + 2219606130.

It is an arithmetic number, because the mean of its divisors is an integer number (4366883430).

Almost surely, 2^934454092320 is an apocalyptic number.

934454092320 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 934454092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886493641760).

934454092320 is an abundant number, since it is smaller than the sum of its proper divisors (2838533191200).

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

934454092320 is a wasteful number, since it uses less digits than its factorization.

934454092320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 934454092320 in words is "nine hundred thirty-four billion, four hundred fifty-four million, ninety-two thousand, three hundred twenty".