95537864464 has 225 divisors, whose sum is σ = 230685046503. Its totient is φ = 38322462528.

The previous prime is 95537864447. The next prime is 95537864467. The reversal of 95537864464 is 46446873559.

The square root of 95537864464 is 309092.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×95537864464³ (a number of 34 digits) contains 333 as substring.

Its product of digits (87091200) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (95537864467) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1151058567 + ... + 1151058649.

Almost surely, 2^95537864464 is an apocalyptic number.

95537864464 is the 309092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95537864464

95537864464 is an abundant number, since it is smaller than the sum of its proper divisors (135147182039).

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

95537864464 is an frugal number, since it uses more digits than its factorization.

95537864464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 111 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 61.

The spelling of 95537864464 in words is "ninety-five billion, five hundred thirty-seven million, eight hundred sixty-four thousand, four hundred sixty-four".