93393288013440 has 256 divisors, whose sum is σ = 326071396800000. Its totient is φ = 22631611957248.

The previous prime is 93393288013409. The next prime is 93393288013453. The reversal of 93393288013440 is 4431088239339.

It is a super-2 number, since 2×93393288013440² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 48386440 + ... + 50279559.

It is an arithmetic number, because the mean of its divisors is an integer number (1273716393750).

Almost surely, 2^{93393288013440} is an apocalyptic number.

It is an amenable number.

93393288013440 is an abundant number, since it is smaller than the sum of its proper divisors (232678108786560).

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

93393288013440 is a wasteful number, since it uses less digits than its factorization.

93393288013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98666067 (or 98666055 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 93393288013440 in words is "ninety-three trillion, three hundred ninety-three billion, two hundred eighty-eight million, thirteen thousand, four hundred forty".