93212749440 has 96 divisors (see below), whose sum is σ = 321875295300. Its totient is φ = 24856731648.

The previous prime is 93212749433. The next prime is 93212749529. The reversal of 93212749440 is 4494721239.

93212749440 is a `hidden beast` number, since 9 + 32 + 127 + 494 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89985600576 + 3227148864 = 299976^2 + 56808^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8085625 + ... + 8097144.

Almost surely, 2^93212749440 is an apocalyptic number.

93212749440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93212749440 is an abundant number, since it is smaller than the sum of its proper divisors (228662545860).

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

93212749440 is a wasteful number, since it uses less digits than its factorization.

93212749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182794 (or 16182779 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 93212749440 in words is "ninety-three billion, two hundred twelve million, seven hundred forty-nine thousand, four hundred forty".