18470920960000 has 960 divisors, whose sum is σ = 51148195338240. Its totient is φ = 6642155520000.

The previous prime is 18470920959989. The next prime is 18470920960007. The reversal of 18470920960000 is 6902907481.

It is a super-2 number, since 2×18470920960000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18470920960007) 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 79 ways as a sum of consecutive naturals, for example, 33767679727 + ... + 33767680273.

It is an arithmetic number, because the mean of its divisors is an integer number (53279370144).

Almost surely, 2^{18470920960000} is an apocalyptic number.

18470920960000 is a gapful number since it is divisible by the number (10) 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 18470920960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574097669120).

18470920960000 is an abundant number, since it is smaller than the sum of its proper divisors (32677274378240).

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

18470920960000 is an equidigital number, since it uses as much as digits as its factorization.

18470920960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 18470920960000 in words is "eighteen trillion, four hundred seventy billion, nine hundred twenty million, nine hundred sixty thousand".