95006134794564 has 384 divisors, whose sum is σ = 285083172864000. Its totient is φ = 26801440009344.

The previous prime is 95006134794523. The next prime is 95006134794569. The reversal of 95006134794564 is 46549743160059.

It is a happy number.

95006134794564 is a `hidden beast` number, since 9 + 5 + 0 + 0 + 61 + 3 + 4 + 7 + 9 + 4 + 564 = 666.

It is a super-3 number, since 3×95006134794564³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (95006134794569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18854161957 + ... + 18854166995.

It is an arithmetic number, because the mean of its divisors is an integer number (742404096000).

Almost surely, 2^{95006134794564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95006134794564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142541586432000).

95006134794564 is an abundant number, since it is smaller than the sum of its proper divisors (190077038069436).

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

95006134794564 is a wasteful number, since it uses less digits than its factorization.

95006134794564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 95006134794564 in words is "ninety-five trillion, six billion, one hundred thirty-four million, seven hundred ninety-four thousand, five hundred sixty-four".