934891875456 has 384 divisors, whose sum is σ = 3142445604480. Its totient is φ = 241045094400.

The previous prime is 934891875443. The next prime is 934891875479. The reversal of 934891875456 is 654578198439.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44548486 + ... + 44569466.

It is an arithmetic number, because the mean of its divisors is an integer number (8183452095).

Almost surely, 2^934891875456 is an apocalyptic number.

934891875456 is a gapful number since it is divisible by the number (96) 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 934891875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571222802240).

934891875456 is an abundant number, since it is smaller than the sum of its proper divisors (2207553729024).

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

934891875456 is a wasteful number, since it uses less digits than its factorization.

934891875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21164 (or 21141 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 69.

The spelling of 934891875456 in words is "nine hundred thirty-four billion, eight hundred ninety-one million, eight hundred seventy-five thousand, four hundred fifty-six".