95214210624 has 567 divisors, whose sum is σ = 316281586257. Its totient is φ = 27371215872.

The previous prime is 95214210587. The next prime is 95214210631. The reversal of 95214210624 is 42601241259.

It is a happy number.

The square root of 95214210624 is 308568.

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

95214210624 is a `hidden beast` number, since 9 + 5 + 2 + 1 + 4 + 21 + 0 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14084942400 + 81129268224 = 118680^2 + 284832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2214283947 + ... + 2214283989.

Almost surely, 2^95214210624 is an apocalyptic number.

95214210624 is the 308568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95214210624

95214210624 is an abundant number, since it is smaller than the sum of its proper divisors (221067375633).

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

95214210624 is a wasteful number, since it uses less digits than its factorization.

95214210624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 95214210624 by its sum of digits (36), we get a square (3427711582464 = 1851408²).

95214210624 divided by its sum of digits (36) gives a square (2644839184 = 51428²).

The spelling of 95214210624 in words is "ninety-five billion, two hundred fourteen million, two hundred ten thousand, six hundred twenty-four".