93380445432000 has 896 divisors, whose sum is σ = 351203139705600. Its totient is φ = 24284012544000.

The previous prime is 93380445431993. The next prime is 93380445432011. The reversal of 93380445432000 is 23454408339.

93380445432000 is a `hidden beast` number, since 9 + 3 + 3 + 80 + 4 + 4 + 543 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1403318730 + ... + 1403385270.

It is an arithmetic number, because the mean of its divisors is an integer number (391967789850).

Almost surely, 2^{93380445432000} is an apocalyptic number.

93380445432000 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 93380445432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175601569852800).

93380445432000 is an abundant number, since it is smaller than the sum of its proper divisors (257822694273600).

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

93380445432000 is a wasteful number, since it uses less digits than its factorization.

93380445432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66739 (or 66713 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 93380445432000 in words is "ninety-three trillion, three hundred eighty billion, four hundred forty-five million, four hundred thirty-two thousand".