934468733160 has 512 divisors, whose sum is σ = 3215419200000. Its totient is φ = 241307320320.

The previous prime is 934468733147. The next prime is 934468733179. The reversal of 934468733160 is 61337864439.

It is a happy number.

934468733160 is a `hidden beast` number, since 9 + 3 + 446 + 8 + 7 + 33 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 934468733097 and 934468733106.

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 127 ways as a sum of consecutive naturals, for example, 2230235431 + ... + 2230235849.

It is an arithmetic number, because the mean of its divisors is an integer number (6280115625).

Almost surely, 2^934468733160 is an apocalyptic number.

934468733160 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 934468733160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607709600000).

934468733160 is an abundant number, since it is smaller than the sum of its proper divisors (2280950466840).

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

934468733160 is a wasteful number, since it uses less digits than its factorization.

934468733160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 934468733160 in words is "nine hundred thirty-four billion, four hundred sixty-eight million, seven hundred thirty-three thousand, one hundred sixty".