95011452286464 has 240 divisors, whose sum is σ = 297989089852608. Its totient is φ = 26819065663488.

The previous prime is 95011452286463. The next prime is 95011452286489. The reversal of 95011452286464 is 46468225411059.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95011452286463) 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 23 ways as a sum of consecutive naturals, for example, 1357762 + ... + 13851585.

Almost surely, 2^{95011452286464} 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 95011452286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148994544926304).

95011452286464 is an abundant number, since it is smaller than the sum of its proper divisors (202977637566144).

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

95011452286464 is a wasteful number, since it uses less digits than its factorization.

95011452286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209465 (or 15209442 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 95011452286464 in words is "ninety-five trillion, eleven billion, four hundred fifty-two million, two hundred eighty-six thousand, four hundred sixty-four".