4534938756000 has 864 divisors, whose sum is σ = 16609788638352. Its totient is φ = 1171744358400.

The previous prime is 4534938755989. The next prime is 4534938756011. The reversal of 4534938756000 is 6578394354.

4534938756000 is a `hidden beast` number, since 4 + 5 + 3 + 49 + 38 + 7 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4534938755989) and next prime (4534938756011).

It can be written as a sum of positive squares in 8 ways, for example, as 32216976 + 4534906539024 = 5676^2 + 2129532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12846851824 + ... + 12846852176.

Almost surely, 2^{4534938756000} is an apocalyptic number.

4534938756000 is a gapful number since it is divisible by the number (40) 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 4534938756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304894319176).

4534938756000 is an abundant number, since it is smaller than the sum of its proper divisors (12074849882352).

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

4534938756000 is a wasteful number, since it uses less digits than its factorization.

4534938756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4534938756000 in words is "four trillion, five hundred thirty-four billion, nine hundred thirty-eight million, seven hundred fifty-six thousand".