95445858816 has 880 divisors, whose sum is σ = 365340241728. Its totient is φ = 24186470400.

The previous prime is 95445858797. The next prime is 95445858817. The reversal of 95445858816 is 61885854459.

95445858816 is a `hidden beast` number, since 9 + 5 + 4 + 45 + 8 + 588 + 1 + 6 = 666.

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

Its product of digits (55296000) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (95445858817) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2327947756 + ... + 2327947796.

Almost surely, 2^95445858816 is an apocalyptic number.

95445858816 is a gapful number since it is divisible by the number (96) 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 95445858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182670120864).

95445858816 is an abundant number, since it is smaller than the sum of its proper divisors (269894382912).

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

95445858816 is an frugal number, since it uses more digits than its factorization.

95445858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 63.

The spelling of 95445858816 in words is "ninety-five billion, four hundred forty-five million, eight hundred fifty-eight thousand, eight hundred sixteen".