93434148900 has 243 divisors, whose sum is σ = 306843637009. Its totient is φ = 23778680640.

The previous prime is 93434148859. The next prime is 93434148901. The reversal of 93434148900 is 984143439.

It is a happy number.

The square root of 93434148900 is 305670.

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

93434148900 is a `hidden beast` number, since 93 + 43 + 41 + 489 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33636293604 + 59797855296 = 183402^2 + 244536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93434148901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 210912079 + ... + 210912521.

Almost surely, 2^93434148900 is an apocalyptic number.

93434148900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

93434148900 is the 305670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93434148900

93434148900 is an abundant number, since it is smaller than the sum of its proper divisors (213409488109).

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

93434148900 is a wasteful number, since it uses less digits than its factorization.

93434148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 93434148900 in words is "ninety-three billion, four hundred thirty-four million, one hundred forty-eight thousand, nine hundred".