95149966464 has 512 divisors, whose sum is σ = 330812928000. Its totient is φ = 26692457472.

The previous prime is 95149966463. The next prime is 95149966469. The reversal of 95149966464 is 46466994159.

It is a super-2 number, since 2×95149966464² (a number of 23 digits) contains 22 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 (95149966463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115613157 + ... + 115613979.

It is an arithmetic number, because the mean of its divisors is an integer number (646119000).

Almost surely, 2^95149966464 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 95149966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165406464000).

95149966464 is an abundant number, since it is smaller than the sum of its proper divisors (235662961536).

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

95149966464 is an frugal number, since it uses more digits than its factorization.

95149966464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 894 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 95149966464 in words is "ninety-five billion, one hundred forty-nine million, nine hundred sixty-six thousand, four hundred sixty-four".