534134651064000 has 896 divisors, whose sum is σ = 2122574374502400. Its totient is φ = 115617823027200.

The previous prime is 534134651063983. The next prime is 534134651064011. The reversal of 534134651064000 is 460156431435.

It is a happy number.

It is a super-2 number, since 2×534134651064000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8679017229 + ... + 8679078771.

It is an arithmetic number, because the mean of its divisors is an integer number (2368944614400).

Almost surely, 2^{534134651064000} is an apocalyptic number.

534134651064000 is a gapful number since it is divisible by the number (50) 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 534134651064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061287187251200).

534134651064000 is an abundant number, since it is smaller than the sum of its proper divisors (1588439723438400).

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

534134651064000 is a wasteful number, since it uses less digits than its factorization.

534134651064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64318 (or 64298 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 534134651064000 in words is "five hundred thirty-four trillion, one hundred thirty-four billion, six hundred fifty-one million, sixty-four thousand".