93142946160 has 240 divisors, whose sum is σ = 342676638720. Its totient is φ = 22485173760.

The previous prime is 93142946147. The next prime is 93142946167. The reversal of 93142946160 is 6164924139.

93142946160 is a `hidden beast` number, since 9 + 3 + 1 + 4 + 29 + 4 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93142946167) 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 47 ways as a sum of consecutive naturals, for example, 1868277 + ... + 1917483.

It is an arithmetic number, because the mean of its divisors is an integer number (1427819328).

Almost surely, 2^93142946160 is an apocalyptic number.

93142946160 is a gapful number since it is divisible by the number (90) 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 93142946160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171338319360).

93142946160 is an abundant number, since it is smaller than the sum of its proper divisors (249533692560).

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

93142946160 is a wasteful number, since it uses less digits than its factorization.

93142946160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49476 (or 49467 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 93142946160 in words is "ninety-three billion, one hundred forty-two million, nine hundred forty-six thousand, one hundred sixty".