934308428112000 has 640 divisors, whose sum is σ = 3581984623726080. Its totient is φ = 241111842048000.

The previous prime is 934308428111963. The next prime is 934308428112097. The reversal of 934308428112000 is 211824803439.

934308428112000 is a `hidden beast` number, since 9 + 3 + 4 + 3 + 0 + 8 + 428 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×934308428112000² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28548307 + ... + 51803693.

It is an arithmetic number, because the mean of its divisors is an integer number (5596850974572).

Almost surely, 2^{934308428112000} is an apocalyptic number.

934308428112000 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 934308428112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790992311863040).

934308428112000 is an abundant number, since it is smaller than the sum of its proper divisors (2647676195614080).

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

934308428112000 is a wasteful number, since it uses less digits than its factorization.

934308428112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23255459 (or 23255428 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 934308428112000 in words is "nine hundred thirty-four trillion, three hundred eight billion, four hundred twenty-eight million, one hundred twelve thousand".