93744456134820 has 24 divisors (see below), whose sum is σ = 262484477177664. Its totient is φ = 24998521635936.

The previous prime is 93744456134807. The next prime is 93744456134873. The reversal of 93744456134820 is 2843165444739.

It is a super-2 number, since 2×93744456134820² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 1562407602247 = 93744456134820 / (9 + 3 + 7 + 4 + 4 + 4 + 5 + 6 + 1 + 3 + 4 + 8 + 2 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781203801064 + ... + 781203801183.

It is an arithmetic number, because the mean of its divisors is an integer number (10936853215736).

It is a 1-persistent number, because it is pandigital, but 2⋅93744456134820 = 187488912269640 is not.

Almost surely, 2^{93744456134820} is an apocalyptic number.

It is an amenable number.

93744456134820 is an abundant number, since it is smaller than the sum of its proper divisors (168740021042844).

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

93744456134820 is a wasteful number, since it uses less digits than its factorization.

93744456134820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562407602259 (or 1562407602257 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 93744456134820 in words is "ninety-three trillion, seven hundred forty-four billion, four hundred fifty-six million, one hundred thirty-four thousand, eight hundred twenty".